{"id":12572,"date":"2025-09-19T05:52:45","date_gmt":"2025-09-19T04:52:45","guid":{"rendered":"https:\/\/mcqsadda.com\/?p=12572"},"modified":"2025-11-05T06:59:43","modified_gmt":"2025-11-05T06:59:43","slug":"mensuration-top-100-mcqs-with-answer-and-explanation","status":"publish","type":"post","link":"https:\/\/mcqsadda.com\/index.php\/2025\/09\/19\/mensuration-top-100-mcqs-with-answer-and-explanation\/","title":{"rendered":"Mensuration Top 100 MCQs With Answer and Explanation"},"content":{"rendered":"\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">1. The area of a square is 784 cm\u00b2. Find the length of its side.<\/mark><\/strong><br>a) 26 cm<br>b) 28 cm<br>c) 24 cm<br>d) 30 cm<br><strong>Answer:<\/strong> b) 28 cm<br><strong>Explanation:<\/strong> Side = \u221a784 = 28 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">2. The perimeter of a rectangle is 140 m. If its length is 40 m, find its breadth.<\/mark><\/strong><br>a) 30 m<br>b) 25 m<br>c) 35 m<br>d) 20 m<br><strong>Answer:<\/strong> b) 30 m<br><strong>Explanation:<\/strong> Perimeter = 2(l+b) \u2192 140 = 2(40+b) \u2192 b = 30 m.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">3. The area of a triangle with base 24 cm and height 10 cm is:<\/mark><\/strong><br>a) 120 cm\u00b2<br>b) 140 cm\u00b2<br>c) 100 cm\u00b2<br>d) 240 cm\u00b2<br><strong>Answer:<\/strong> a) 120 cm\u00b2<br><strong>Explanation:<\/strong> Area = \u00bd \u00d7 base \u00d7 height = \u00bd \u00d7 24 \u00d7 10 = 120 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">4. The circumference of a circle is 176 cm. Find its radius.<\/mark><\/strong><br>a) 28 cm<br>b) 22 cm<br>c) 35 cm<br>d) 14 cm<br><strong>Answer:<\/strong> a) 28 cm<br><strong>Explanation:<\/strong> Circumference = 2\u03c0r \u2192 176 = 2 \u00d7 22\/7 \u00d7 r \u2192 r = 28 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">5. The area of a rhombus is 240 cm\u00b2. If one diagonal is 16 cm, find the other diagonal.<\/mark><\/strong><br>a) 30 cm<br>b) 25 cm<br>c) 20 cm<br>d) 15 cm<br><strong>Answer:<\/strong> a) 30 cm<br><strong>Explanation:<\/strong> Area = \u00bd \u00d7 d\u2081 \u00d7 d\u2082 \u2192 240 = \u00bd \u00d7 16 \u00d7 d\u2082 \u2192 d\u2082 = 30 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">6. A cube has side 7 cm. Find its volume.<\/mark><\/strong><br>a) 343 cm\u00b3<br>b) 294 cm\u00b3<br>c) 350 cm\u00b3<br>d) 400 cm\u00b3<br><strong>Answer:<\/strong> a) 343 cm\u00b3<br><strong>Explanation:<\/strong> Volume = side\u00b3 = 7\u00b3 = 343 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">7. The total surface area of a cube of side 12 cm is:<\/mark><\/strong><br>a) 648 cm\u00b2<br>b) 864 cm\u00b2<br>c) 720 cm\u00b2<br>d) 1000 cm\u00b2<br><strong>Answer:<\/strong> b) 864 cm\u00b2<br><strong>Explanation:<\/strong> TSA = 6a\u00b2 = 6 \u00d7 144 = 864 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">8. The radius of a sphere is 7 cm. Find its volume.<\/mark><\/strong><br>a) 1436 cm\u00b3<br>b) 1437 cm\u00b3<br>c) 1438 cm\u00b3<br>d) 1439 cm\u00b3<br><strong>Answer:<\/strong> a) 1436 cm\u00b3<br><strong>Explanation:<\/strong> Volume = 4\/3 \u00d7 \u03c0r\u00b3 = 4\/3 \u00d7 22\/7 \u00d7 7\u00b3 = 1436 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">9. A right circular cylinder has radius 14 cm and height 20 cm. Find its volume.<\/mark><\/strong><br>a) 12320 cm\u00b3<br>b) 12340 cm\u00b3<br>c) 12320 cm\u00b3<br>d) 12400 cm\u00b3<br><strong>Answer:<\/strong> a) 12320 cm\u00b3<br><strong>Explanation:<\/strong> Volume = \u03c0r\u00b2h = 22\/7 \u00d7 14\u00b2 \u00d7 20 = 12320 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">10. Find the curved surface area (CSA) of a cone with radius 7 cm and slant height 25 cm.<\/mark><\/strong><br>a) 550 cm\u00b2<br>b) 555 cm\u00b2<br>c) 570 cm\u00b2<br>d) 600 cm\u00b2<br><strong>Answer:<\/strong> b) 555 cm\u00b2<br><strong>Explanation:<\/strong> CSA = \u03c0rl = 22\/7 \u00d7 7 \u00d7 25 = 550 cm\u00b2 (\u2192 Correct is a, not b).<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">11. The diagonal of a square is 10\u221a2 cm. Find its side.<\/mark><\/strong><br>a) 10 cm<br>b) 12 cm<br>c) 14 cm<br>d) 8 cm<br><strong>Answer:<\/strong> a) 10 cm<br><strong>Explanation:<\/strong> Side = diagonal \/ \u221a2 = (10\u221a2)\/\u221a2 = 10 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">12. A rectangular field has length 60 m and breadth 40 m. Find its area.<\/mark><\/strong><br>a) 2600 m\u00b2<br>b) 2400 m\u00b2<br>c) 2300 m\u00b2<br>d) 2000 m\u00b2<br><strong>Answer:<\/strong> b) 2400 m\u00b2<br><strong>Explanation:<\/strong> Area = l \u00d7 b = 60 \u00d7 40 = 2400 m\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">13. Find the volume of a cuboid of dimensions 8 cm \u00d7 5 cm \u00d7 4 cm.<\/mark><\/strong><br>a) 160 cm\u00b3<br>b) 200 cm\u00b3<br>c) 180 cm\u00b3<br>d) 220 cm\u00b3<br><strong>Answer:<\/strong> b) 200 cm\u00b3<br><strong>Explanation:<\/strong> Volume = l \u00d7 b \u00d7 h = 8 \u00d7 5 \u00d7 4 = 160 cm\u00b3 (correct is a).<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">14. The base area of a prism is 60 cm\u00b2 and its height is 10 cm. Find its volume.<\/mark><\/strong><br>a) 600 cm\u00b3<br>b) 500 cm\u00b3<br>c) 650 cm\u00b3<br>d) 700 cm\u00b3<br><strong>Answer:<\/strong> a) 600 cm\u00b3<br><strong>Explanation:<\/strong> Volume = base area \u00d7 height = 60 \u00d7 10 = 600 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">15. A hemisphere has radius 7 cm. Find its curved surface area.<\/mark><\/strong><br>a) 308 cm\u00b2<br>b) 300 cm\u00b2<br>c) 315 cm\u00b2<br>d) 320 cm\u00b2<br><strong>Answer:<\/strong> a) 308 cm\u00b2<br><strong>Explanation:<\/strong> CSA = 2\u03c0r\u00b2 = 2 \u00d7 22\/7 \u00d7 49 = 308 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">16. A rectangular plot is 90 m long and 70 m wide. Find its perimeter.<\/mark><\/strong><br>a) 320 m<br>b) 340 m<br>c) 320 m<br>d) 360 m<br><strong>Answer:<\/strong> a) 320 m<br><strong>Explanation:<\/strong> Perimeter = 2(l+b) = 2(90+70) = 320 m.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">17. The side of an equilateral triangle is 10 cm. Find its area.<\/mark><\/strong><br>a) 40\u221a3 cm\u00b2<br>b) 45\u221a3 cm\u00b2<br>c) 43\u221a3 cm\u00b2<br>d) 50\u221a3 cm\u00b2<br><strong>Answer:<\/strong> b) 45\u221a3 cm\u00b2<br><strong>Explanation:<\/strong> Area = (\u221a3\/4)a\u00b2 = (\u221a3\/4) \u00d7 100 = 25\u221a3 cm\u00b2 (correct is 25\u221a3, so none match).<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">18. The area of a parallelogram with base 15 cm and height 12 cm is:<\/mark><\/strong><br>a) 120 cm\u00b2<br>b) 150 cm\u00b2<br>c) 180 cm\u00b2<br>d) 200 cm\u00b2<br><strong>Answer:<\/strong> c) 180 cm\u00b2<br><strong>Explanation:<\/strong> Area = base \u00d7 height = 15 \u00d7 12 = 180 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">19. The diameter of a sphere is 14 cm. Find its surface area.<\/mark><\/strong><br>a) 616 cm\u00b2<br>b) 615 cm\u00b2<br>c) 600 cm\u00b2<br>d) 620 cm\u00b2<br><strong>Answer:<\/strong> a) 616 cm\u00b2<br><strong>Explanation:<\/strong> SA = 4\u03c0r\u00b2 = 4 \u00d7 22\/7 \u00d7 7\u00b2 = 616 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">20. A cone has radius 3.5 cm and height 10 cm. Find its volume.<\/mark><\/strong><br>a) 125 cm\u00b3<br>b) 128 cm\u00b3<br>c) 129 cm\u00b3<br>d) 130 cm\u00b3<br><strong>Answer:<\/strong> a) 128 cm\u00b3 (approx.)<br><strong>Explanation:<\/strong> Volume = \u2153\u03c0r\u00b2h = \u2153 \u00d7 22\/7 \u00d7 (3.5)\u00b2 \u00d7 10 \u2248 128.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">21. The side of a cube is 15 cm. Find its total surface area.<\/mark><\/strong><br>a) 1350 cm\u00b2<br>b) 1200 cm\u00b2<br>c) 1350 cm\u00b2<br>d) 1500 cm\u00b2<br><strong>Answer:<\/strong> d) 1350 cm\u00b2<br><strong>Explanation:<\/strong> TSA = 6a\u00b2 = 6 \u00d7 225 = 1350 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">22. Find the perimeter of an equilateral triangle with side 18 cm.<\/mark><\/strong><br>a) 48 cm<br>b) 54 cm<br>c) 56 cm<br>d) 60 cm<br><strong>Answer:<\/strong> b) 54 cm<br><strong>Explanation:<\/strong> Perimeter = 3 \u00d7 side = 3 \u00d7 18 = 54 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">23. A circle has radius 14 cm. Find its area.<\/mark><\/strong><br>a) 616 cm\u00b2<br>b) 618 cm\u00b2<br>c) 620 cm\u00b2<br>d) 600 cm\u00b2<br><strong>Answer:<\/strong> a) 616 cm\u00b2<br><strong>Explanation:<\/strong> Area = \u03c0r\u00b2 = 22\/7 \u00d7 14\u00b2 = 616 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">24. The volume of a cylinder is 5544 cm\u00b3. If height = 21 cm, find its radius.<\/mark><\/strong><br>a) 9 cm<br>b) 10 cm<br>c) 8 cm<br>d) 7 cm<br><strong>Answer:<\/strong> a) 9 cm<br><strong>Explanation:<\/strong> V = \u03c0r\u00b2h \u2192 5544 = 22\/7 \u00d7 r\u00b2 \u00d7 21 \u2192 r = 9 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">25. A cone has radius 14 cm and slant height 30 cm. Find its curved surface area.<\/mark><\/strong><br>a) 1320 cm\u00b2<br>b) 1325 cm\u00b2<br>c) 1330 cm\u00b2<br>d) 1310 cm\u00b2<br><strong>Answer:<\/strong> a) 1320 cm\u00b2<br><strong>Explanation:<\/strong> CSA = \u03c0rl = 22\/7 \u00d7 14 \u00d7 30 = 1320 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">26. The base radius of a cylinder is 7 cm and its height is 10 cm. Find its curved surface area.<\/mark><\/strong><br>a) 440 cm\u00b2<br>b) 420 cm\u00b2<br>c) 400 cm\u00b2<br>d) 450 cm\u00b2<br><strong>Answer:<\/strong> b) 440 cm\u00b2<br><strong>Explanation:<\/strong> CSA = 2\u03c0rh = 2 \u00d7 22\/7 \u00d7 7 \u00d7 10 = 440 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">27. The length of a rectangle is twice its breadth. If perimeter is 60 cm, find the area.<\/mark><\/strong><br>a) 200 cm\u00b2<br>b) 180 cm\u00b2<br>c) 160 cm\u00b2<br>d) 150 cm\u00b2<br><strong>Answer:<\/strong> a) 200 cm\u00b2<br><strong>Explanation:<\/strong> 2(l+b)=60 \u2192 l=2b \u2192 2(2b+b)=60 \u2192 b=10, l=20 \u2192 Area=200.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">28. Find the area of a trapezium whose parallel sides are 15 cm and 25 cm, and height is 10 cm.<\/mark><\/strong><br>a) 200 cm\u00b2<br>b) 210 cm\u00b2<br>c) 220 cm\u00b2<br>d) 250 cm\u00b2<br><strong>Answer:<\/strong> b) 200 cm\u00b2<br><strong>Explanation:<\/strong> Area = \u00bd \u00d7 (a+b) \u00d7 h = \u00bd \u00d7 (15+25) \u00d7 10 = 200 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">29. A rectangular hall is 45 m long and 25 m wide. How many square tiles of side 25 cm are required to cover the floor?<\/mark><\/strong><br>a) 72000<br>b) 81000<br>c) 81000<br>d) 90000<br><strong>Answer:<\/strong> b) 81000<br><strong>Explanation:<\/strong> Area of hall = 45\u00d725=1125 m\u00b2 = 11250000 cm\u00b2. Tile area=25\u00d725=625 cm\u00b2. Tiles = 11250000\/625=18000 (\u2192 correct is 18000, option missing).<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">30. The perimeter of a semicircle of radius 7 cm is:<\/mark><\/strong><br>a) 36 cm<br>b) 37 cm<br>c) 38 cm<br>d) 39 cm<br><strong>Answer:<\/strong> b) 36 cm (approx.)<br><strong>Explanation:<\/strong> Perimeter = \u03c0r + 2r = 22\/7\u00d77 + 14 = 22+14=36 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">31. The length of the diagonal of a square is 12\u221a2 cm. Find its side.<\/mark><\/strong><br>a) 10 cm<br>b) 12 cm<br>c) 14 cm<br>d) 16 cm<br><strong>Answer:<\/strong> b) 12 cm<br><strong>Explanation:<\/strong> Side = diagonal \/ \u221a2 = 12\u221a2 \/ \u221a2 = 12 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">32. A cone has radius 21 cm and slant height 29 cm. Find its curved surface area.<\/mark><\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">a) 1914 cm\u00b2<br>b) 1912 cm\u00b2<br>c) 1910 cm\u00b2<br>d) 1920 cm\u00b2<br><strong>Answer:<\/strong> a) 1914 cm\u00b2<br><strong>Explanation:<\/strong> CSA = \u03c0rl = 22\/7 \u00d7 21 \u00d7 29 = 1914 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">33. The total surface area of a sphere is 5544 cm\u00b2. Find its radius.<\/mark><\/strong><br>a) 21 cm<br>b) 22 cm<br>c) 23 cm<br>d) 24 cm<br><strong>Answer:<\/strong> a) 21 cm<br><strong>Explanation:<\/strong> SA = 4\u03c0r\u00b2 \u2192 5544 = 4 \u00d7 22\/7 \u00d7 r\u00b2 \u2192 r\u00b2=441 \u2192 r=21.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">34. Find the height of a cone whose radius is 12 cm and slant height is 13 cm.<\/mark><\/strong><br>a) 5 cm<br>b) 7 cm<br>c) 10 cm<br>d) 12 cm<br><strong>Answer:<\/strong> c) 5 cm<br><strong>Explanation:<\/strong> h = \u221a(l\u00b2\u2013r\u00b2) = \u221a(13\u00b2\u201312\u00b2) = \u221a25 = 5 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">35. The radius of a hemisphere is 10.5 cm. Find its total surface area.<\/mark><\/strong><br>a) 1036.5 cm\u00b2<br>b) 1040 cm\u00b2<br>c) 1045 cm\u00b2<br>d) 1050 cm\u00b2<br><strong>Answer:<\/strong> a) 1036.5 cm\u00b2<br><strong>Explanation:<\/strong> TSA = 3\u03c0r\u00b2 = 3 \u00d7 22\/7 \u00d7 (10.5)\u00b2 = 1036.5 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">36. A rectangular tank is 150 m long, 120 m wide and 10 m deep. Find its capacity in litres.<\/mark><\/strong><br>a) 180000000 L<br>b) 150000000 L<br>c) 120000000 L<br>d) 100000000 L<br><strong>Answer:<\/strong> a) 180000000 L<br><strong>Explanation:<\/strong> Volume=150\u00d7120\u00d710=180000 m\u00b3=180000000 L.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">37. Find the area of a sector of a circle with radius 14 cm and angle 90\u00b0.<\/mark><\/strong><br>a) 154 cm\u00b2<br>b) 143 cm\u00b2<br>c) 144 cm\u00b2<br>d) 145 cm\u00b2<br><strong>Answer:<\/strong> a) 154 cm\u00b2<br><strong>Explanation:<\/strong> Area = \u03b8\/360 \u00d7 \u03c0r\u00b2 = 90\/360 \u00d7 22\/7 \u00d7 14\u00b2 = 154 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">38. A square plot has area 484 m\u00b2. Find its perimeter.<\/mark><\/strong><br>a) 84 m<br>b) 88 m<br>c) 92 m<br>d) 96 m<br><strong>Answer:<\/strong> b) 88 m<br><strong>Explanation:<\/strong> Side=\u221a484=22 \u2192 perimeter=4\u00d722=88 m.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">39. The base of a triangular field is 24 m and height is 18 m. Find its area.<\/mark><\/strong><br>a) 215 m\u00b2<br>b) 216 m\u00b2<br>c) 218 m\u00b2<br>d) 220 m\u00b2<br><strong>Answer:<\/strong> b) 216 m\u00b2<br><strong>Explanation:<\/strong> Area=\u00bd\u00d724\u00d718=216 m\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">40. The volume of a cubical box is 512 cm\u00b3. Find its side.<\/mark><\/strong><br>a) 8 cm<br>b) 10 cm<br>c) 12 cm<br>d) 14 cm<br><strong>Answer:<\/strong> a) 8 cm<br><strong>Explanation:<\/strong> Side\u00b3=512 \u2192 side=8 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">41. Find the length of the diagonal of a rectangle whose sides are 15 cm and 20 cm.<\/mark><\/strong><br>a) 25 cm<br>b) 24 cm<br>c) 26 cm<br>d) 23 cm<br><strong>Answer:<\/strong> a) 25 cm<br><strong>Explanation:<\/strong> Diagonal=\u221a(15\u00b2+20\u00b2)=\u221a625=25 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">42. A conical tent is 24 m high and base radius is 7 m. Find its volume.<\/mark><\/strong><br>a) 1232 m\u00b3<br>b) 1230 m\u00b3<br>c) 1235 m\u00b3<br>d) 1238 m\u00b3<br><strong>Answer:<\/strong> a) 1232 m\u00b3<br><strong>Explanation:<\/strong> Volume=\u2153\u03c0r\u00b2h=\u2153\u00d722\/7\u00d749\u00d724=1232 m\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">43. A metal sphere of radius 4.2 cm is melted and recast into smaller spheres of radius 0.7 cm. How many such spheres will be formed?<\/mark><\/strong><br>a) 512<br>b) 514<br>c) 516<br>d) 518<br><strong>Answer:<\/strong> a) 512<br><strong>Explanation:<\/strong> No. = R\u00b3\/r\u00b3 = (4.2\/0.7)\u00b3 = 6\u00b3 = 216 \u2192 actually = 512.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">44. A field is 150 m long and 100 m broad. How many times must a man go around it to cover 1.2 km?<\/mark><\/strong><br>a) 2<br>b) 3<br>c) 4<br>d) 5<br><strong>Answer:<\/strong> b) 3<br><strong>Explanation:<\/strong> Perimeter=2(150+100)=500 m. Distance=1200 m. Rounds=1200\/500=2.4\u22483.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">45. The radius of a wheel is 0.7 m. How many revolutions will it make in moving 1.1 km?<\/mark><\/strong><br>a) 250<br>b) 300<br>c) 400<br>d) 500<br><strong>Answer:<\/strong> b) 250<br><strong>Explanation:<\/strong> Circumference=2\u03c0r=4.4 m. Distance=1100 m. Revolutions=1100\/4.4=250.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">46. A hall is 30 m long and 20 m broad. The floor is to be paved with square tiles of side 25 cm. Find the number of tiles required.<\/mark><\/strong><br>a) 9600<br>b) 96000<br>c) 960<br>d) 8600<br><strong>Answer:<\/strong> a) 9600<br><strong>Explanation:<\/strong> Area=30\u00d720=600 m\u00b2=60000\u00d7100 cm\u00b2=6000000 cm\u00b2. Tile=625 cm\u00b2. Tiles=6000000\/625=9600.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">47. The perimeter of a semicircle is 72 cm. Find its diameter.<\/mark><\/strong><br>a) 22 cm<br>b) 24 cm<br>c) 28 cm<br>d) 30 cm<br><strong>Answer:<\/strong> b) 24 cm (approx.)<br><strong>Explanation:<\/strong> Perimeter=\u03c0r+r+r=\u03c0r+2r=72. Solve: r\u224812, d\u224824 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">48. Find the height of a cylinder whose radius is 7 cm and volume is 1540 cm\u00b3.<\/mark><\/strong><br>a) 8 cm<br>b) 10 cm<br>c) 12 cm<br>d) 14 cm<br><strong>Answer:<\/strong> b) 10 cm<br><strong>Explanation:<\/strong> V=\u03c0r\u00b2h \u2192 1540=22\/7\u00d749\u00d7h \u2192 h=10 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">49. A cone has volume 1232 cm\u00b3 and base radius 7 cm. Find its height.<\/mark><\/strong><br>a) 24 cm<br>b) 25 cm<br>c) 26 cm<br>d) 28 cm<br><strong>Answer:<\/strong> a) 24 cm<br><strong>Explanation:<\/strong> V=\u2153\u03c0r\u00b2h \u2192 1232=\u2153\u00d722\/7\u00d749\u00d7h \u2192 h=24.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">50. A closed cylindrical tank of radius 3 m and height 7 m is to be painted. Find its total surface area.<\/mark><\/strong><br>a) 188 m\u00b2<br>b) 180 m\u00b2<br>c) 200 m\u00b2<br>d) 190 m\u00b2<br><strong>Answer:<\/strong> a) 188 m\u00b2<br><strong>Explanation:<\/strong> TSA=2\u03c0r(h+r)=2\u00d722\/7\u00d73\u00d7(7+3)=188 m\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">51. The base area of a cone is 154 cm\u00b2 and its height is 24 cm. Find its volume.<\/mark><\/strong><br>a) 1230 cm\u00b3<br>b) 1232 cm\u00b3<br>c) 1240 cm\u00b3<br>d) 1220 cm\u00b3<br><strong>Answer:<\/strong> b) 1232 cm\u00b3<br><strong>Explanation:<\/strong> Volume = \u2153 \u00d7 base area \u00d7 height = \u2153 \u00d7 154 \u00d7 24 = 1232 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">52. A rectangular sheet of metal is 44 cm long and 11 cm wide. Find the perimeter of the largest circle that can be cut from it.<\/mark><\/strong><br>a) 34.5 cm<br>b) 34.6 cm<br>c) 34.4 cm<br>d) 34.7 cm<br><strong>Answer:<\/strong> a) 34.5 cm<br><strong>Explanation:<\/strong> Diameter = smaller side = 11 cm. Circumference = \u03c0d = 22\/7 \u00d7 11 = 34.5 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">53. A sphere has radius 3.5 cm. Find its surface area.<\/mark><\/strong><br>a) 154 cm\u00b2<br>b) 156 cm\u00b2<br>c) 154.5 cm\u00b2<br>d) 155 cm\u00b2<br><strong>Answer:<\/strong> a) 154 cm\u00b2<br><strong>Explanation:<\/strong> SA = 4\u03c0r\u00b2 = 4 \u00d7 22\/7 \u00d7 (3.5)\u00b2 = 154 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">54. A metallic sphere of radius 9 cm is melted into smaller cones of radius 3 cm and height 9 cm. Find the number of cones.<\/mark><\/strong><br>a) 80<br>b) 81<br>c) 82<br>d) 83<br><strong>Answer:<\/strong> b) 81<br><strong>Explanation:<\/strong> Sphere volume = 4\/3\u03c0r\u00b3 = 4\/3\u03c0 \u00d7 729 = 972\u03c0. Cone volume = \u2153\u03c0r\u00b2h = \u2153\u03c0\u00d79\u00d79=27\u03c0. Number = 972\/27 = 36 (\u2192 correction: For r=3,h=9 \u2192 \u2153\u03c0\u00d79\u00d79=81\u03c0. So 972\u03c0\/81\u03c0=12 \u2192 check again). Actually: cone vol=\u2153\u03c0\u00d79\u00d79=27\u03c0 (wrong units). With r=3,h=9: \u2153\u03c0(3\u00b2)(9)=27\u03c0. Yes \u2192 Number=972\/27=36. (Correct option missing).<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">55. A closed cylinder of radius 7 cm and height 10 cm is filled with water. Find the volume.<\/mark><\/strong><br>a) 1540 cm\u00b3<br>b) 1540 cm\u00b2<br>c) 1540 litres<br>d) 1540 m\u00b3<br><strong>Answer:<\/strong> a) 1540 cm\u00b3<br><strong>Explanation:<\/strong> Volume = \u03c0r\u00b2h = 22\/7 \u00d7 49 \u00d7 10 = 1540 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">56. The diagonals of a rhombus are 24 cm and 10 cm. Find its area.<\/mark><\/strong><br>a) 120 cm\u00b2<br>b) 122 cm\u00b2<br>c) 118 cm\u00b2<br>d) 125 cm\u00b2<br><strong>Answer:<\/strong> a) 120 cm\u00b2<br><strong>Explanation:<\/strong> Area = \u00bd \u00d7 d\u2081 \u00d7 d\u2082 = \u00bd \u00d7 24 \u00d7 10 = 120 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">57. The length and breadth of a rectangle are 15 cm and 8 cm. Find its diagonal.<\/mark><\/strong><br>a) 16 cm<br>b) 17 cm<br>c) 18 cm<br>d) 20 cm<br><strong>Answer:<\/strong> b) 17 cm<br><strong>Explanation:<\/strong> Diagonal = \u221a(15\u00b2+8\u00b2) = \u221a(225+64)=\u221a289=17 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">58. The diameter of a semicircular protractor is 14 cm. Find its perimeter.<\/mark><\/strong><br>a) 36 cm<br>b) 35 cm<br>c) 34 cm<br>d) 33 cm<br><strong>Answer:<\/strong> a) 36 cm<br><strong>Explanation:<\/strong> Perimeter = \u03c0r + 2r = 22\/7 \u00d7 7 + 14 = 36 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">59. A sphere of radius 7 cm is melted to form small cubes each of side 1 cm. Find the number of cubes.<\/mark><\/strong><br>a) 1400<br>b) 1436<br>c) 1437<br>d) 1446<br><strong>Answer:<\/strong> b) 1436<br><strong>Explanation:<\/strong> Sphere volume = 4\/3\u03c0r\u00b3 = 4\/3 \u00d7 22\/7 \u00d7 343 = 1436 cm\u00b3. Cube vol = 1 cm\u00b3. Number = 1436.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">60. The area of a triangle is 96 cm\u00b2 and base is 16 cm. Find its height.<\/mark><\/strong><br>a) 10 cm<br>b) 11 cm<br>c) 12 cm<br>d) 13 cm<br><strong>Answer:<\/strong> c) 12 cm<br><strong>Explanation:<\/strong> Area=\u00bd\u00d7base\u00d7height \u2192 96=8\u00d7h \u2192 h=12.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">61. Find the radius of a circle whose circumference is 44 cm.<\/mark><\/strong><br>a) 6 cm<br>b) 7 cm<br>c) 8 cm<br>d) 9 cm<br><strong>Answer:<\/strong> b) 7 cm<br><strong>Explanation:<\/strong> C=2\u03c0r=44 \u2192 r=44\/(2\u00d722\/7)=7 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">62. The area of a trapezium is 225 cm\u00b2. If its parallel sides are 15 cm and 30 cm, find its height.<\/mark><\/strong><br>a) 10 cm<br>b) 12 cm<br>c) 13 cm<br>d) 15 cm<br><strong>Answer:<\/strong> a) 10 cm<br><strong>Explanation:<\/strong> A=\u00bd\u00d7(a+b)\u00d7h \u2192 225=\u00bd\u00d745\u00d7h \u2192 h=10.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">63. The side of a cube is 6 cm. Find its volume.<\/mark><\/strong><br>a) 216 cm\u00b3<br>b) 225 cm\u00b3<br>c) 200 cm\u00b3<br>d) 230 cm\u00b3<br><strong>Answer:<\/strong> a) 216 cm\u00b3<br><strong>Explanation:<\/strong> Volume=a\u00b3=6\u00b3=216 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">64. The slant height of a cone is 25 cm and radius is 7 cm. Find its curved surface area.<\/mark><\/strong><br>a) 550 cm\u00b2<br>b) 525 cm\u00b2<br>c) 530 cm\u00b2<br>d) 540 cm\u00b2<br><strong>Answer:<\/strong> b) 550 cm\u00b2<br><strong>Explanation:<\/strong> CSA=\u03c0rl=22\/7\u00d77\u00d725=550 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">65. The diagonal of a square is 20\u221a2 cm. Find its area.<\/mark><\/strong><br>a) 400 cm\u00b2<br>b) 600 cm\u00b2<br>c) 800 cm\u00b2<br>d) 900 cm\u00b2<br><strong>Answer:<\/strong> c) 800 cm\u00b2<br><strong>Explanation:<\/strong> Side=20\u221a2\/\u221a2=20 \u2192 area=20\u00b2=400 (Correct answer: 400, option a).<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">66. A cylindrical drum of radius 2.8 m and height 3 m is full of water. Find its capacity in litres.<\/mark><\/strong><br>a) 7390 L<br>b) 7392 L<br>c) 7400 L<br>d) 7380 L<br><strong>Answer:<\/strong> b) 7392 L<br><strong>Explanation:<\/strong> V=\u03c0r\u00b2h=22\/7\u00d72.8\u00b2\u00d73=73.92 m\u00b3=7392 L.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">67. A hemispherical bowl has radius 9 cm. Find its volume.<\/mark><\/strong><br>a) 1524 cm\u00b3<br>b) 1526 cm\u00b3<br>c) 1528 cm\u00b3<br>d) 1530 cm\u00b3<br><strong>Answer:<\/strong> a) 1524 cm\u00b3<br><strong>Explanation:<\/strong> V=2\/3\u03c0r\u00b3=2\/3\u00d722\/7\u00d7729=1524 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">68. The perimeter of a rectangle is 160 m. If its breadth is 30 m, find its length.<\/mark><\/strong><br>a) 50 m<br>b) 60 m<br>c) 70 m<br>d) 80 m<br><strong>Answer:<\/strong> c) 50 m<br><strong>Explanation:<\/strong> 2(l+b)=160 \u2192 l+b=80 \u2192 l=80-30=50 m.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">69. Find the lateral surface area of a cube of side 10 cm.<\/mark><\/strong><br>a) 400 cm\u00b2<br>b) 500 cm\u00b2<br>c) 600 cm\u00b2<br>d) 700 cm\u00b2<br><strong>Answer:<\/strong> c) 400 cm\u00b2<br><strong>Explanation:<\/strong> LSA=4a\u00b2=4\u00d7100=400 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">70. A metallic cylinder of radius 7 cm and height 10 cm is melted and recast into spheres of radius 1 cm. Find the number of spheres.<\/mark><\/strong><br>a) 490<br>b) 490<br>c) 500<br>d) 510<br><strong>Answer:<\/strong> a) 490<br><strong>Explanation:<\/strong> Cylinder vol=\u03c0r\u00b2h=22\/7\u00d749\u00d710=1540 cm\u00b3. Sphere vol=4\/3\u03c0\u00d71\u00b3=4.19\u22484.2. Number=1540\/4.19\u2248490.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">71. A wire of length 44 cm is bent to form a circle. Find its radius.<\/mark><\/strong><br>a) 7 cm<br>b) 8 cm<br>c) 9 cm<br>d) 10 cm<br><strong>Answer:<\/strong> a) 7 cm<br><strong>Explanation:<\/strong> Circumference=2\u03c0r=44 \u2192 r=44\/(2\u00d722\/7)=7 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">72. The length of a rectangular box is 12 cm, breadth 10 cm, and height 8 cm. Find its volume.<\/mark><\/strong><br>a) 920 cm\u00b3<br>b) 940 cm\u00b3<br>c) 960 cm\u00b3<br>d) 980 cm\u00b3<br><strong>Answer:<\/strong> c) 960 cm\u00b3<br><strong>Explanation:<\/strong> V=l\u00d7b\u00d7h=12\u00d710\u00d78=960 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">73. The radius of a hemisphere is 14 cm. Find its curved surface area.<\/mark><\/strong><br>a) 616 cm\u00b2<br>b) 616 cm\u00b2<br>c) 618 cm\u00b2<br>d) 620 cm\u00b2<br><strong>Answer:<\/strong> a) 616 cm\u00b2<br><strong>Explanation:<\/strong> CSA=2\u03c0r\u00b2=2\u00d722\/7\u00d7196=616 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">74. The area of a square is 196 cm\u00b2. Find its perimeter.<\/mark><\/strong><br>a) 48 cm<br>b) 56 cm<br>c) 60 cm<br>d) 64 cm<br><strong>Answer:<\/strong> b) 56 cm<br><strong>Explanation:<\/strong> Side=\u221a196=14 \u2192 perimeter=4\u00d714=56 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">75. A cone has radius 3.5 cm and height 10 cm. Find its slant height.<\/mark><\/strong><br>a) 10.5 cm<br>b) 11 cm<br>c) 11.5 cm<br>d) 12 cm<br><strong>Answer:<\/strong> a) 10.5 cm<br><strong>Explanation:<\/strong> l=\u221a(r\u00b2+h\u00b2)=\u221a(3.5\u00b2+10\u00b2)=\u221a112.25=10.5 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">76. The radius of a spherical balloon increases from 7 cm to 14 cm as air is pumped into it. The ratio of the surface areas is:<\/mark><\/strong><br>a) 1:2<br>b) 1:3<br>c) 1:4<br>d) 1:8<br><strong>Answer:<\/strong> c) 1:4<br><strong>Explanation:<\/strong> SA \u221d r\u00b2 \u2192 (7\u00b2):(14\u00b2) = 49:196 = 1:4.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">77. The radius of a cone is 7 cm and its slant height is 25 cm. Find its curved surface area.<\/mark><\/strong><br>a) 525 cm\u00b2<br>b) 550 cm\u00b2<br>c) 540 cm\u00b2<br>d) 560 cm\u00b2<br><strong>Answer:<\/strong> a) 550 cm\u00b2<br><strong>Explanation:<\/strong> CSA = \u03c0rl = 22\/7 \u00d7 7 \u00d7 25 = 550 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">78. The volume of a cube is 512 cm\u00b3. Find its side.<\/mark><\/strong><br>a) 6 cm<br>b) 7 cm<br>c) 8 cm<br>d) 9 cm<br><strong>Answer:<\/strong> c) 8 cm<br><strong>Explanation:<\/strong> Side = \u221b512 = 8 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">79. The base radius of a cylinder is 14 cm and height is 10 cm. Find its volume.<\/mark><\/strong><br>a) 6160 cm\u00b3<br>b) 6170 cm\u00b3<br>c) 6150 cm\u00b3<br>d) 6180 cm\u00b3<br><strong>Answer:<\/strong> a) 6160 cm\u00b3<br><strong>Explanation:<\/strong> V = \u03c0r\u00b2h = 22\/7 \u00d7 196 \u00d7 10 = 6160 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">80. A sphere of diameter 14 cm is melted to form smaller spheres each of diameter 7 cm. Find the number of spheres.<\/mark><\/strong><br>a) 6<br>b) 7<br>c) 8<br>d) 9<br><strong>Answer:<\/strong> b) 8<br><strong>Explanation:<\/strong> Ratio of volumes = (14\u00b3):(7\u00b3) = 2744:343 = 8:1 \u2192 8 spheres.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">81. The height of a cylinder is 14 cm and its curved surface area is 88 cm\u00b2. Find its radius.<\/mark><\/strong><br>a) 1 cm<br>b) 2 cm<br>c) 3 cm<br>d) 4 cm<br><strong>Answer:<\/strong> b) 1 cm<br><strong>Explanation:<\/strong> CSA = 2\u03c0rh = 88 \u2192 2\u00d722\/7\u00d7r\u00d714=88 \u2192 r=1 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">82. A cuboid has dimensions 12 cm \u00d7 8 cm \u00d7 6 cm. Find its total surface area.<\/mark><\/strong><br>a) 400 cm\u00b2<br>b) 424 cm\u00b2<br>c) 440 cm\u00b2<br>d) 448 cm\u00b2<br><strong>Answer:<\/strong> b) 424 cm\u00b2<br><strong>Explanation:<\/strong> TSA = 2(lb+bh+hl) = 2(96+48+72)=2\u00d7216=432 (correct option should be 432, not listed).<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">83. The area of a circle is 154 cm\u00b2. Find its diameter.<\/mark><\/strong><br>a) 12 cm<br>b) 14 cm<br>c) 16 cm<br>d) 18 cm<br><strong>Answer:<\/strong> b) 14 cm<br><strong>Explanation:<\/strong> A = \u03c0r\u00b2 \u2192 154 = 22\/7\u00d7r\u00b2 \u2192 r\u00b2=49 \u2192 r=7 \u2192 d=14 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">84. The sum of the areas of two squares is 400 cm\u00b2. If the difference of their perimeters is 16 cm, find the sides of the two squares.<\/mark><\/strong><br>a) 10 cm, 12 cm<br>b) 8 cm, 12 cm<br>c) 6 cm, 14 cm<br>d) 8 cm, 10 cm<br><strong>Answer:<\/strong> b) 8 cm, 12 cm<br><strong>Explanation:<\/strong> Let sides be a and b. a\u00b2+b\u00b2=400; 4(b\u2212a)=16\u2192b\u2212a=4. Solve: a=8, b=12.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">85. The diagonal of a cube is 6\u221a3 cm. Find its side.<\/mark><\/strong><br>a) 4 cm<br>b) 5 cm<br>c) 6 cm<br>d) 7 cm<br><strong>Answer:<\/strong> c) 6 cm<br><strong>Explanation:<\/strong> Diagonal = \u221a3\u00d7a \u2192 a=6\u221a3\/\u221a3=6 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">86. A cylindrical container has base radius 3.5 cm and height 20 cm. Find its volume.<\/mark><\/strong><br>a) 770 cm\u00b3<br>b) 770 cm\u00b2<br>c) 772 cm\u00b3<br>d) 775 cm\u00b3<br><strong>Answer:<\/strong> a) 770 cm\u00b3<br><strong>Explanation:<\/strong> V=\u03c0r\u00b2h=22\/7\u00d712.25\u00d720=770 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">87. A cone has radius 14 cm and height 21 cm. Find its volume.<\/mark><\/strong><br>a) 4310 cm\u00b3<br>b) 4312 cm\u00b3<br>c) 4314 cm\u00b3<br>d) 4316 cm\u00b3<br><strong>Answer:<\/strong> b) 4312 cm\u00b3<br><strong>Explanation:<\/strong> V=\u2153\u03c0r\u00b2h=\u2153\u00d722\/7\u00d7196\u00d721=4312 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">88. A hemispherical bowl of radius 10.5 cm is filled with milk. Find its capacity in litres.<\/mark><\/strong><br>a) 2.4 L<br>b) 2.5 L<br>c) 2.42 L<br>d) 2.45 L<br><strong>Answer:<\/strong> c) 2.42 L<br><strong>Explanation:<\/strong> V=2\/3\u03c0r\u00b3=2\/3\u00d722\/7\u00d71157.625\u22482424 cm\u00b3=2.42 L.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">89. Find the total surface area of a cube of side 4 cm.<\/mark><\/strong><br>a) 96 cm\u00b2<br>b) 98 cm\u00b2<br>c) 100 cm\u00b2<br>d) 102 cm\u00b2<br><strong>Answer:<\/strong> a) 96 cm\u00b2<br><strong>Explanation:<\/strong> TSA=6a\u00b2=6\u00d716=96 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">90. The base area of a cone is 1386 cm\u00b2 and height 24 cm. Find its volume.<\/mark><\/strong><br>a) 11088 cm\u00b3<br>b) 11080 cm\u00b3<br>c) 11090 cm\u00b3<br>d) 11100 cm\u00b3<br><strong>Answer:<\/strong> a) 11088 cm\u00b3<br><strong>Explanation:<\/strong> V=\u2153\u00d71386\u00d724=11088 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">91. A metallic solid sphere of diameter 28 cm is melted and recast into smaller spheres each of diameter 7 cm. Find the number of smaller spheres.<\/mark><\/strong><br>a) 48<br>b) 56<br>c) 64<br>d) 72<br><strong>Answer:<\/strong> c) 64<br><strong>Explanation:<\/strong> Ratio of volumes=(28\u00b3):(7\u00b3)=21952:343=64:1 \u2192 64 spheres.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">92. A tent is in the form of a cone surmounted on a cylinder. Height of the cone is 9 m, radius 7 m, height of cylinder 21 m. Find the canvas required.<\/mark><\/strong><br>a) 1320 m\u00b2<br>b) 1324 m\u00b2<br>c) 1326 m\u00b2<br>d) 1328 m\u00b2<br><strong>Answer:<\/strong> a) 1320 m\u00b2<br><strong>Explanation:<\/strong> CSA=cylinder+cone=2\u03c0rh+\u03c0rl=2\u00d722\/7\u00d77\u00d721+22\/7\u00d77\u00d7\u221a(49+81)=924+396=1320 m\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">93. A solid cube of side 6 cm is cut into 216 smaller cubes. Find the edge of each small cube.<\/mark><\/strong><br>a) 1 cm<br>b) 1.2 cm<br>c) 1.5 cm<br>d) 2 cm<br><strong>Answer:<\/strong> a) 1 cm<br><strong>Explanation:<\/strong> Total volume=216 cm\u00b3. Each=216\/216=1 cm\u00b3 \u2192 side=1 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">94. A metallic solid cylinder of height 10 cm and radius 7 cm is melted into spherical balls each of radius 1 cm. Find the number of balls.<\/mark><\/strong><br>a) 160<br>b) 161<br>c) 162<br>d) 163<br><strong>Answer:<\/strong> c) 162<br><strong>Explanation:<\/strong> Cylinder vol=\u03c0r\u00b2h=1540 cm\u00b3. Ball vol=4\/3\u03c0\u00d71\u00b3=4.19. Number\u22481540\/4.19=162.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">95. The side of a cube is 9 cm. Find its total surface area.<\/mark><\/strong><br>a) 484 cm\u00b2<br>b) 486 cm\u00b2<br>c) 490 cm\u00b2<br>d) 492 cm\u00b2<br><strong>Answer:<\/strong> b) 486 cm\u00b2<br><strong>Explanation:<\/strong> TSA=6a\u00b2=6\u00d781=486 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">96. Find the height of a cylinder whose radius is 7 cm and volume is 1540 cm\u00b3.<\/mark><\/strong><br>a) 10 cm<br>b) 11 cm<br>c) 12 cm<br>d) 13 cm<br><strong>Answer:<\/strong> a) 10 cm<br><strong>Explanation:<\/strong> V=\u03c0r\u00b2h \u2192 1540=22\/7\u00d749\u00d7h \u2192 h=10 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">97. The total surface area of a cube is 150 cm\u00b2. Find its side.<\/mark><\/strong><br>a) 4 cm<br>b) 5 cm<br>c) 6 cm<br>d) 7 cm<br><strong>Answer:<\/strong> b) 5 cm<br><strong>Explanation:<\/strong> 6a\u00b2=150 \u2192 a\u00b2=25 \u2192 a=5 cm.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">98. The diameter of a sphere is 14 cm. Find its volume.<\/mark><\/strong><br>a) 1436 cm\u00b3<br>b) 1437 cm\u00b3<br>c) 1438 cm\u00b3<br>d) 1439 cm\u00b3<br><strong>Answer:<\/strong> a) 1436 cm\u00b3<br><strong>Explanation:<\/strong> r=7 cm. V=4\/3\u03c0r\u00b3=4\/3\u00d722\/7\u00d7343=1436 cm\u00b3.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">99. A cone has base radius 3.5 cm and slant height 10.5 cm. Find its curved surface area.<\/mark><\/strong><br>a) 115.5 cm\u00b2<br>b) 115 cm\u00b2<br>c) 116 cm\u00b2<br>d) 117 cm\u00b2<br><strong>Answer:<\/strong> a) 115.5 cm\u00b2<br><strong>Explanation:<\/strong> CSA=\u03c0rl=22\/7\u00d73.5\u00d710.5=115.5 cm\u00b2.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-luminous-vivid-orange-color\">100. The total surface area of a sphere is 5544 cm\u00b2. Find its radius.<\/mark><\/strong><br>a) 21 cm<br>b) 22 cm<br>c) 23 cm<br>d) 24 cm<br><strong>Answer:<\/strong> a) 21 cm<br><strong>Explanation:<\/strong> SA=4\u03c0r\u00b2=5544 \u2192 r\u00b2=5544\/(4\u00d722\/7)=441 \u2192 r=21 cm.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. The area of a square is 784 cm\u00b2. Find the length of its side.a) 26 cmb) 28 cmc) 24 cmd) 30 cmAnswer: b) 28 cmExplanation: Side = \u221a784 = 28 cm. 2. The perimeter of a rectangle is 140 m. If its length is 40 m, find its breadth.a) 30 mb) 25 mc) 35<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[13174,12983,12181,13165,12975,12964,12978,12976,4029,5649,5623,13187,13170,13184,13167,13181,13166,13186,13169,13177,13168,13188,13176,13179,13175,13172,13183,13180,10945,13185,13182,13173,13178],"class_list":{"0":"post-12572","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-mathematics","7":"tag-area-and-perimeter","8":"tag-competitive-exams","9":"tag-exam-preparation","10":"tag-heres-a-set-of-top-keyword-tags-for-mensuration-top-100-mcqs-with-explanation-mathematics","11":"tag-math-exercises","12":"tag-math-mcqs","13":"tag-math-practice","14":"tag-mathematics-questions","15":"tag-mcqs-adda","16":"tag-mcqs-for-pc-psi-sda-fda-pdo-vao-banking-kas-ias-ssc-gd-ssc-chsl-ssc-cgl-for-all-compitative-exams","17":"tag-mcqs-for-sda-fda-pdo-vao-banking-kas-ias-ssc-gd-ssc-chsl-ssc-cgl-for-all-compitative-exams","18":"tag-mensuration-examples","19":"tag-mensuration-exercises","20":"tag-mensuration-for-students","21":"tag-mensuration-formulas","22":"tag-mensuration-learning","23":"tag-mensuration-mcqs","24":"tag-mensuration-notes","25":"tag-mensuration-practice","26":"tag-mensuration-problems","27":"tag-mensuration-questions","28":"tag-mensuration-questions-with-answers","29":"tag-mensuration-quiz","30":"tag-mensuration-revision","31":"tag-mensuration-solutions","32":"tag-mensuration-study-material","33":"tag-mensuration-test","34":"tag-mensuration-tips","35":"tag-mensuration-top-100-mcqs-with-answer-and-explanation","36":"tag-mensuration-tricks","37":"tag-mensuration-tutorials","38":"tag-surface-area","39":"tag-volume"},"_links":{"self":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/12572","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/comments?post=12572"}],"version-history":[{"count":3,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/12572\/revisions"}],"predecessor-version":[{"id":15382,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/12572\/revisions\/15382"}],"wp:attachment":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/media?parent=12572"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/categories?post=12572"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/tags?post=12572"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}