MCQ Questions On Volume And Surface Area Of Solids

Last Updated: 22 December 2023

Read the Multiple Choice Questions on the Volume And Surface Area of Solids to Boost and Improve your Maths Skills.

These Multiple Choice Questions will help ICSE and CBSE students to prepare well for their Examinations.

This chapter on the Volume And Surface Area of Solids is also useful for Aspirants sitting for various Competitive Exams. Solve these Questions and Improve your Skills, Logical Reasoning, and Problem Solving ability.

Volume And Surface Area Of Solids

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1. What is the Volume of the Cube if the Perimeter of one face of a Cube is 40 cm?
a) 800 Cm³
b) 1000 Cm³
c) 600 Cm³
d) 820 Cm³

2. If the Length, Breadth, and Height of a Cuboid are 2 m, 2 m, and 1 m. What is the Surface Area in m²?
a) 12
b) 24
c) 16
d) 8

3. A Rectangular SandBox is 5 m wide and 2 m long. How many Cubic Metres of Sand is needed to fill the Box unto a Depth of 10 cm?
a) 2.5
b) 1
c) 5
d) 3

4. What is the Surface Area of a Cube of Side 27 Cm?
a) 4374 cm²
b) 6080 cm²
c) 2298 cm²
d) 729 cm²

5. If the Length, Breadth, and Height of a Cuboid are in the Ratio 6 : 5 : 4 and the Total Surface Area of the Cuboid is 33300 cm². What is the Breadth of the Cuboid?
a) 95 cm
b) 25 cm
c) 55 cm
d) 75 cm

6. The number of Bricks each measuring 25 cm x 12.5 cm x 7.5 cm required to construct a wall 6 m Long, 5 m High, and 0.5 m Thick, While the Mortar occupies 5% of the Volume of the Wall is?
a) 8819
b) 6080
c) 9011
d) 2019

7. What is the weight of the beam if the beam is 9 m long, 40 cm wide, and 20 cm Deep is made up of iron that weighs 50 kg per cubic meter?
a) 15 kg
b) 39 kg
c) 29 kg
d) 36 kg

8. What is the length of the Longest Rod that can be placed in a room 30 m long, 24 m broad, and 18 m high?
a) 45√2 m
b) 15√2 m
c) 30√2 m
d) 60 m

9. Each brick measures 25 cm x 12.5 cm x 7.5 cm, How many Bricks will be needed to construct a wall 15 m long, 1.8 m high, and 37.5 cm thick?
a) 4404
b) 4320
c) 6020
d) 6460

10. A Wooden Box of Dimensions 8 m x 7 m x 6 m is to carry Rectangular Boxes of dimensions 8 cm x 7 cm x 6 cm. What is the Maximum Number of Boxes that can be carried in the Wooden box?
a) 99,00,000
b) 10,00,000
c) 12,00,000
d) 98,00,000

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11. What is the Total Surface Area of all the Small Cubes if 4 cm Cube is cut into 1 cm Cubes?
a) 354 cm²
b) 396 cm²
c) 384 cm²
d) 324 cm²

12. If each side of a Cube is doubled. What is its Volume?
a) Becomes 8 times
b) Becomes double
c) Becomes 6 times
d) Does not change

13. A Cube of side 6 cm is cut into a number of cubes each of side 2 cm. What is the number of Cubes so formed?
a) 22
b) 61
c) 27
d) 24

14. If Three Cubes of Metal of edges 6 cm, 8 cm, and 10 cm are melted and made into a single cube. What is the edge of the new cube so formed?
a) 92 cm
b) 24 cm
c) 18 cm
d) 12 cm

15. If two cubes each with an 8 cm edge are joined end to end, what is the Surface Area of the resulting Cuboid?
a) 640 cm³
b) 560 cm³
c) 830 cm³
d) 440 cm³

16. The Volume of a wall, 5 times as high as it is broad and 8 times as long as it is high is 12.8 m³. What is the breadth of the wall?
a) 22.5 cm
b) 40 cm
c) 20 cm
d) 10 cm

17. The length of the longest pole that can be placed on the floor of a room is 10m and the length of the longest pole that can be placed in a room is 10√2 m. What is the height of the room?
a) 10.5 m
b) 10.2 m
c) 10 m
d) 20 m

18. If the length of the diagonal of a cube is 4√3 cm. What is the length of its edge?
a) 4 cm
b) 8 cm
c) 6 cm
d) 2 cm

19. What is the Surface Area of a Cube if its Volume is 2744 Cm³?
a) 196 cm²
b) 1176 cm²
c) 784 cm²
d) 588 cm²

20. What is the Volume of a Cube with Surface Area 384 cm²?
a) 196 Cm³
b) 256 Cm³
c) 512 Cm³
d) 118 Cm³

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21. What is the number of Coins required, if one coin is 1.5 cm in diameter and 0.2 cm thick to be melted to form a Right Circular Cylinder of height 10 cm and diameter 4.5 cm?
a) 654
b) 650
c) 450
d) 474

22. What is the Total Surface Area of the Cylinder if the ratio between the radius of the base and the height of a Cylinder is 2 : 3 and its volume is 1617 cm³?
a) 462 cm²
b) 308 cm²
c) 707 cm²
d) 554 cm²

23. What is the ratio of the Total Surface Area to the Lateral Surface Area of a cylinder with a base radius of 80 cm and height of 20 cm?
a) 2 : 3
b) 4 : 1
c) 5 : 1
d) 3 : 1

24. If the height of a Cylinder is 14 cm and its Curved Surface Area is 264 cm². What is the Volume of the Cylinder?
a) 308 cm³
b) 396 cm³
c) 498 cm³
d) 526 cm³

25. What is the height of a Cylinder if the Curved Surface Area is 1760 m²and its base radius is 14 cm?
a) 15 cm
b) 5 cm
c) 10 cm
d) 20 cm

26. What is the Total Surface Area of the cylinder having a diameter of 28 cm and a height of 20 cm?
a) 2994 cm²
b) 2993 cm²
c) 2992 cm²
d) 2991 cm²

27. What is the Volume of the Cylinder whose height is 14 cm and the diameter of the base is 4 cm?
a) 352 cm³
b) 176 cm³
c) 154 cm³
d) 129 cm³

28. What is the ratio of the Surface Area if Two Cubes have their volumes in the ratio 1 : 27?
a) 1 : 8
b) 1 : 9
c) 1 : 19
d) 1 : 21

29. 1 m³ = ________ cm³
a) 10,00,000
b) 10,000,000
c) 10,00,000,000
d) 1,00,000

30. 1 cm³ = ________ dm³
a) 0.1
b) 0.01
c) 0.001
d) 0.0001

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31. If the Surface Area of a cube is numerically equal to its volume, then the edge of the cube is?
a) 8 Units
b) 2 Units
c) 6 Units
d) 4 Units

32. To calculate the Area of the road paved by a road roller, we need to find the ______ of the roller?
a) Area
b) Curved Surface Area
c) Total Surface Area
d) Volume

33. A ________, when rolled along its length or breadth, forms a Cylinder.
a) Rectangle
b) Square
c) Cone
d) Hexagon

34. If the Volume of a Cylinder is numerically equal to its Curved Surface Area. What is the radius of the base?
a) 1 Unit
b) 2 Units
c) 3 Units
d) 4 Units

35. What is the Total Surface Area of a Cuboid?
a) (lxbxh) Sq. Units
b) 2[(l+b)xh] Sq. Units
c) √(l²+b²+h²) Sq. Units
d) 2(lb+bh+lh) Sq. Units

36. What is the Diagonal of a Cuboid?
a) a² Units
b) a³ Units
c) √(l²+b²+h²) Units
d) √(l²+b²+h²) Sq. Units

37. What is the Total Surface Area of a Cube?
a) 4a² Sq. Units
b) 6a² Sq. Units
c) 5a² Sq. Units
d) a² Sq. Units

38. What is the Curved Surface Area of a Cylinder?
a) πrh Sq. Units
b) 2πrh Sq. Units
c) 4πrh Sq. Units
d) 2πr²h Sq. Units

39. What is the Volume of a Cylinder?
a) πr²h Sq. Units
b) 2πr²h Sq. Units
c) πr²h Cubic Units
d) 2πr²h Cubic Units

40. What is the Total Surface Area of a Cylinder?
a) 2πr²(r+h) Cubic Units
b) 4πr²(r+h) Sq. Units
c) 2πr(r+h) Cubic Units
d) 2πr(r+h) Sq. Units

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41. What is the Volume of a Cuboid?
a) √(l²+b²+h²) Cubic Units
b) (lxbxh) Cubic Units
c) a³ Cubic Units
d) a√3 Cubic Units

42. What is the Lateral Surface Area of a Cuboid?
a) 2[(l+b)xh] Sq. Units
b) 2[lx(b+h)] Sq. Units
c) 2πr²h Sq. Units
d) 2πrh Sq. Units

43. What is the Volume of a Cube?
a) 6a³ Cubic Units
b) 4a³ Cubic Units
c) 2a³ Cubic Units
d) a³ Cubic Units

44. What is the Lateral Surface Area of a Cube?
a) 4a² Units
b) 4a² Sq. Units
c) 4a³ Cubic Units
d) 2πrh Sq. Units

45. What is the Volume of a cuboid of length: 24 cm, breadth: 16 cm, and height: 7.5 cm?
a) 2980 cm³
b) 1880 cm³
c) 2880 cm³
d) 2440 cm³

46. What is the Diagonal of a Cube?
a) a√6 Units
b) a√3 Units
c) a√3 Sq. Units
d) a√3 Cubic Units

47. What is the Volume of a Cylinder if height: 42 cm, base radius: 10 cm?
a) 13200 cm³
b) 12200 cm³
c) 11200 cm³
d) 10200 cm³

48. What is the Total Surface Area of a Cylinder of height: 32 cm and radius: 10.5 cm?
a) 1298 cm²
b) 1126 cm²
c) 2805 cm²
d) 3905 cm²

49. A roller of diameter 84 cm and length of 120 cm takes 500 complete revolutions to level a playground, what will be the cost of leveling it at ₹4.50 per m²?
a) ₹2229
b) ₹9089
c) ₹ 21695
d) ₹7128

50. What is the height of a cylinder if the Total Surface Area is 660 cm² and radius 5 cm?
a) 24 cm
b) 20 cm
c) 16 cm
d) 12 cm

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51. If the Curved Surface Area and Volume of a Cylindrical Pillar are 264 m² and 924 m³. What is the Diameter of the pillar?
a) 21 m
b) 14 m
c) 7 m
d) 28 m

52. How many bricks will be required to construct a wall 10 m long, 6 m high, and 22.5 cm thick, if each brick measures 25 cm x 12 cm x 9 cm?
a) 5054
b) 5000
c) 6000
d) 9090

53. What is the length of the longest rod that can be placed in a room 16 m long, 12 m broad, and 32/3 m high?
a) 66/3 m
b) 67/3 m
c) 68/3 m
d) 69/3 m

54. The length, breadth, and height of a Cuboid are in the ratio 6:5:3. If its Total Surface Area is 504 cm². What is the Volume of the Cube?
a) 950 cm³
b) 520 cm³
c) 720 cm³
d) 660 cm³

55. The Total Surface Area of a Cube is 384 cm². What is the Volume?
a) 512 cm³
b) 612 cm³
c) 224 cm³
d) 198 cm³

56. What is the Volume of a Cube whose edges measure 15 cm?
a) 5151 cm³
b) 3375 cm³
c) 9934cm³
d) 6547 cm³

57. The Volume of Cuboid is 972 m³. If its length and breadth are 16 cm and 13.5 cm. What is the height?
a) 8.8 m
b) 6.7 m
c) 4.5 m
d) 2.5 m

58. What is the length of the wire if 2200 cm³ of brass is to be drawn into a cylindrical wire of diameter 0.5 cm?
a) 152 m
b) 312 m
c) 112 m
d) 212 m

59. What is the height of a Cylinder if the Total Surface Area is 660 cm² and the radius is 5 cm?
a) 16 cm
b) 26 cm
c) 84 cm
d) 660 cm

60. A swimming pool 70 m x 44 m x 3 m is filled by water from a pipe of diameter 35 cm at 6 m per second. What is the time required to fill the pool?
a) 30/9 hours
b) 10/9 hours
c) 20/9 hours
d) 40/9 hours

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61. How many Cubic Metres of the earth must be dug out to sink a well 22.5 m deep that has a diameter of 7m?
a) 766.25 m³
b) 866.25 m³
c) 966.25 m³
d) 884.25 m³

62. A well is dug 8 m deep, it has a diameter of 14 m. What is the height of the embankment if the earth taken out of it has been evenly spread all around to form an embankment of width 21 m?
a) 49.8 m
b) 14 m
c) 8 m
d) 53.3 m

63. The Total Surface Area of a Solid Cylinder is 462 cm² and its Curved Surface Area is one-third of its Total Surface Area. What is the Volume of the Cylinder?
a) 448 cm³
b) 539 cm³
c) 229 cm³
d) 339 cm³

64. A 20 m deep well with a diameter of 7 m is dug up and the earth from digging is spread evenly to form a platform 22m x 14 m. Find the height of the platform?
a) 2.5 m
b) 3.5 m
c) 4.5 m
d) 5.5 m

65. A classroom is 10 m long, 6.4 m broad, and 5m high. If each student is given 1.6 m² of the floor area. How many students can be accommodated in the room?
a) 50
b) 30
c) 20
d) 40

66. The length, breadth, and height of a room are 8m, 6.5 m, and 3.5 m. What is the area of 4 walls of the room?
a) 102.5 m²
b) 101.5 m²
c) 99.5 m²
d) 103.5 m²

67. Find the Lateral Surface Area of the new Cube formed if the three cubes of metal with edges 5 cm, 4 cm, 3 cm are melted to form a single cube?
a) 142 cm²
b) 144 cm²
c) 124 cm²
d) 112 cm²

68. What is the length of each edge of the cube if a solid piece of metal in the form of a cuboid of dimensions 24 cm x 18 cm x 4 cm is melted down and recast into a cube?
a) 16 cm
b) 8 cm
c) 10 cm
d) 12 cm

69. If the Areas of the three adjacent faces of a cuboidal box are 120 cm², 72 cm², 60 cm². What is the Volume of the Box?
a) 550 cm³
b) 620 cm³
c) 320 cm³
d) 720 cm³

70. How many planks can be stored in a place 15 m long, 4 m wide, and 60 m deep if each measures 5 m x 24 cm x 10 cm?
a) 200
b) 150
c) 300
d) 100

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