Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 109 · 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 cylinder has a radius of 7 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
2. 2.A fish tank is 120 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
3. 3.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 6 cm?
4. 4.A box is 3 cm long, 9 cm wide and 4 cm high. What is its volume (in cubic cm)?
5. 5.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
6. 6.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)?
7. 7.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)?
8. 8.A fish tank is 60 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
9. 9.A closed box is 10 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
10. 10.A closed box is 4 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
11. 11.A box is 12 cm long, 8 cm wide and 7 cm high. What is its volume (in cubic cm)?
12. 12.A cylinder has a radius of 14 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
13. 13.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)?
14. 14.A closed box is 13 cm long, 12 cm wide and 8 cm high. What is its total surface area (in sq cm)?
15. 15.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
16. 16.A closed box is 18 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
17. 17.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 16 cm?
18. 18.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 15 cm × 15 cm?
19. 19.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
20. 20.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
21. 21.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)?
22. 22.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
23. 23.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 6 cm?
24. 24.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 12 cm?
25. 25.A closed box is 16 cm long, 12 cm wide and 12 cm high. What is its total surface area (in sq cm)?
26. 26.A box is 19 cm long, 6 cm wide and 3 cm high. What is its volume (in cubic cm)?
27. 27.A closed box is 18 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
28. 28.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
29. 29.A box is 3 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
30. 30.A box is 4 cm long, 10 cm wide and 11 cm high. What is its volume (in cubic cm)?
31. 31.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
32. 32.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 9 cm × 15 cm?
33. 33.A closed box is 13 cm long, 3 cm wide and 2 cm high. What is its total surface area (in sq cm)?
34. 34.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 8 cm?
35. 35.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
36. 36.A closed box is 6 cm long, 10 cm wide and 5 cm high. What is its total surface area (in sq cm)?
37. 37.A closed box is 8 cm long, 14 cm wide and 2 cm high. What is its total surface area (in sq cm)?
38. 38.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
39. 39.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
40. 40.A closed box is 15 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?

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