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volumes MCQs

Practise focused volumes questions with marked answers for exam preparation and subject revision.

volumes Mcqs

1. If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
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A. 600

B. 500

C. 900

D. 1000

2. The area of the cardboard(in cm2
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A. 1390 cm2

B. 695 cm2

C. 1280 cm2

D. 1220 cm2

3. A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________?
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A. 2:05

B. 1: 3

C. 3:01

D. 3:05

4. The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?
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A. 1:02

B. 2:01

C. 1:4

D. 4:01

5. If the volume and surface area of a sphere is numerically the same then its radius is_________?
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A. 3 units

B. 4 units

C. 1 unit

D. 2 units

6. If the volumes of two cubes are in the ratio 8: 1, the ratio of their edges is_________?
0

A. 2 : 1

B. None of these

C. 8:01

D. 2?2 : 1

7. The surface area of a cube is 726m2
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A. 1542 m3

B. 1452 m3

C. 1331 m3

D. 1300 m3

8. Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?
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A. 0.086111111

B. 1:04

C. 1:8

D. 8:01

9. The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________?
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A. Equal to its radius

B. Equal to its diameter

C. 4/3 times its radius

D. 2/3 times its radius

10. The sides of a cube are in the ratio 1:2 the ratio of their volume is__________?
0

A. 2:01

B. 1:04

C. 1:02

D. 1:8

11. The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is?
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A. 3

B. 5

C. 6

D. 4

12. A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
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A. 12 cm

B. 18 cm

C. 10 cm

D. 24 cm

13. If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm2
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A. 90, 85, 60

B. 85, 75, 60

C. 90, 75,60

D. 90, 75, 70

14. If the height of a cone is increased by 100% then its volume is increased by_________?
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A. 200%

B. 400%

C. 300%

D. 100%

15. A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is__________?
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A. 2:01

B. 1:02

C. 1:03

D. 3:1

16. A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?
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A. 0.29 cm

B. 0.299 cm

C. 4.15 cm

D. 2.98 cm

17. A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x 6cm. The maximum number of boxes that can be carried in 1 wooden box is?
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A. 7500000

B. 1200000

C. 1000000

D. 9800000

18. Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
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A. 6000

B. 4000

C. 5000

D. 7000

19. A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
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A. 3000 M3

B. 4500 M3

C. 2700 M3

D. 27000 M3

20. The length of the wire of 0.2mm radius that can be drawn after melting a solid copper sphere of diameter 18cm?
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A. 2430 m

B. 243 m

C. 24300 m

D. 24.3 m

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