Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 19 · 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.A box is 6 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
2. 2.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 4 cm?
3. 3.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 10 cm?
4. 4.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 4 cm?
5. 5.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 6 cm × 6 cm?
6. 6.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 12 cm × 6 cm?
7. 7.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 15 cm × 15 cm?
8. 8.A closed box is 19 cm long, 13 cm wide and 10 cm high. What is its total surface area (in sq cm)?
9. 9.A box is 15 cm long, 4 cm wide and 2 cm high. What is its volume (in cubic cm)?
10. 10.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 6 cm × 9 cm?
11. 11.A closed box is 11 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
12. 12.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
13. 13.A box is 8 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
14. 14.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
15. 15.A box is 4 cm long, 12 cm wide and 12 cm high. What is its volume (in cubic cm)?
16. 16.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)?
17. 17.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
18. 18.A box is 18 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
19. 19.A box is 4 cm long, 14 cm wide and 2 cm high. What is its volume (in cubic cm)?
20. 20.A closed box is 4 cm long, 15 cm wide and 6 cm high. What is its total surface area (in sq cm)?
21. 21.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
22. 22.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
23. 23.A box is 15 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
24. 24.A fish tank is 120 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.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 9 cm?
26. 26.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
27. 27.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 8 cm?
28. 28.A box is 9 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
29. 29.A fish tank is 40 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
30. 30.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
31. 31.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
32. 32.A box is 10 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
33. 33.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 18 cm?
34. 34.A closed box is 7 cm long, 14 cm wide and 8 cm high. What is its total surface area (in sq cm)?
35. 35.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)?
36. 36.A cylinder has a radius of 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
37. 37.A pipe (a cylinder) has a radius of 13 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
38. 38.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
39. 39.A box is 19 cm long, 13 cm wide and 5 cm high. What is its volume (in cubic cm)?
40. 40.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)?

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