Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 284 · 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 15 cm × 18 cm × 12 cm?
2. 2.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
3. 3.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
4. 4.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 12 cm?
5. 5.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)?
6. 6.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 8 cm?
7. 7.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 12 cm × 6 cm?
8. 8.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 12 cm × 4 cm?
9. 9.A closed box is 4 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
10. 10.A closed box is 18 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
11. 11.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 6 cm × 12 cm?
12. 12.A fish tank is 50 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
13. 13.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
14. 14.A cylinder has a radius of 14 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
15. 15.A fish tank is 110 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
16. 16.A box is 9 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
17. 17.A pipe (a cylinder) has a radius of 7 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
18. 18.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)?
19. 19.A pipe (a cylinder) has a radius of 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
20. 20.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)?
21. 21.A box is 17 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
22. 22.A closed box is 4 cm long, 3 cm wide and 6 cm high. What is its total surface area (in sq cm)?
23. 23.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 20 cm × 25 cm?
24. 24.A box is 20 cm long, 10 cm wide and 2 cm high. What is its volume (in cubic cm)?
25. 25.A closed box is 16 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
26. 26.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
27. 27.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
28. 28.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 9 cm?
29. 29.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 16 cm × 12 cm?
30. 30.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)?
31. 31.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
32. 32.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
33. 33.A closed box is 4 cm long, 7 cm wide and 7 cm high. What is its total surface area (in sq cm)?
34. 34.A box is 6 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
35. 35.A box is 15 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
36. 36.A closed box is 3 cm long, 7 cm wide and 6 cm high. What is its total surface area (in sq cm)?
37. 37.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
38. 38.A closed box is 19 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
39. 39.A box is 5 cm long, 4 cm wide and 5 cm high. What is its volume (in cubic cm)?
40. 40.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 6 cm × 15 cm?

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