Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 325 · 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 2 cm fit exactly in a box that is 4 cm × 8 cm × 4 cm?
2. 2.A fish tank is 30 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
3. 3.A closed box is 20 cm long, 4 cm wide and 11 cm high. What is its total surface area (in sq cm)?
4. 4.A box is 13 cm long, 6 cm wide and 3 cm high. What is its volume (in cubic cm)?
5. 5.A box is 7 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
6. 6.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 4 cm?
7. 7.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 10 cm × 10 cm?
8. 8.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 9 cm?
9. 9.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 12 cm?
10. 10.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
11. 11.A closed box is 20 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
12. 12.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
13. 13.A closed box is 4 cm long, 14 cm wide and 4 cm high. What is its total surface area (in sq cm)?
14. 14.A closed box is 7 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
15. 15.A fish tank is 50 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
16. 16.A box is 7 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
17. 17.A closed box is 6 cm long, 8 cm wide and 12 cm high. What is its total surface area (in sq cm)?
18. 18.A closed box is 7 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
19. 19.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
20. 20.A box is 7 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
21. 21.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
22. 22.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
23. 23.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
24. 24.A closed box is 12 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
25. 25.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
26. 26.A fish tank is 90 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
27. 27.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
28. 28.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
29. 29.A cube has an edge of 6 cm. What is its volume (in 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 pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
32. 32.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
33. 33.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
34. 34.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 24 cm?
35. 35.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 16 cm × 16 cm?
36. 36.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)?
37. 37.A closed box is 14 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
38. 38.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
39. 39.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)?
40. 40.A box is 13 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?

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