Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 50 · 40 questions

The method (Fill or wrap): Cuboid: volume = l × b × h; total surface area = 2 × (lb + bh + hl). Cube: volume = a × a × a; surface area = 6 × a × a. Cylinder (π = 22/7): volume = π × r × r × h; curved surface area = 2 × π × r × h. 1 litre = 1000 cubic cm; small cubes in a box = (L ÷ a) × (B ÷ a) × (H ÷ a).

1. 1.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 18 cm × 6 cm?
2. 2.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 9 cm?
3. 3.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
4. 4.A cylinder has a radius of 21 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
5. 5.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
6. 6.A closed box is 14 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
7. 7.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
8. 8.A pipe (a cylinder) has a radius of 4 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
9. 9.A box is 4 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
10. 10.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
11. 11.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
12. 12.A fish tank is 40 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
13. 13.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 20 cm?
14. 14.A cylinder has a radius of 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
15. 15.A box is 5 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
16. 16.A closed box is 3 cm long, 10 cm wide and 5 cm high. What is its total surface area (in sq cm)?
17. 17.A box is 15 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
18. 18.A box is 20 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
19. 19.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
20. 20.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 8 cm?
21. 21.A box is 20 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
22. 22.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
23. 23.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
24. 24.A fish tank is 100 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
25. 25.A pipe (a cylinder) has a radius of 7 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
26. 26.A fish tank is 100 cm long, 60 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
27. 27.A box is 8 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
28. 28.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
29. 29.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
30. 30.A box is 18 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
31. 31.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
32. 32.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 6 cm?
33. 33.A pipe (a cylinder) has a radius of 7 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
34. 34.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
35. 35.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
36. 36.A closed box is 17 cm long, 6 cm wide and 7 cm high. What is its total surface area (in sq cm)?
37. 37.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
38. 38.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
39. 39.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 12 cm?
40. 40.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 16 cm × 12 cm?

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