Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 146 · 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 cube has an edge of 7 cm. What is its total surface area (in sq cm)?
2. 2.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 24 cm × 12 cm?
3. 3.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 18 cm?
4. 4.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)?
5. 5.A cylinder has a radius of 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
6. 6.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
7. 7.A fish tank is 70 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
8. 8.A box is 10 cm long, 7 cm wide and 7 cm high. What is its volume (in cubic cm)?
9. 9.A box is 7 cm long, 6 cm wide and 7 cm high. What is its volume (in cubic cm)?
10. 10.A box is 5 cm long, 10 cm wide and 12 cm high. What is its volume (in cubic cm)?
11. 11.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 18 cm?
12. 12.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)?
13. 13.A fish tank is 100 cm long, 20 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
14. 14.A box is 5 cm long, 14 cm wide and 5 cm high. What is its volume (in cubic cm)?
15. 15.A fish tank is 70 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
16. 16.A closed box is 13 cm long, 13 cm wide and 9 cm high. What is its total surface area (in sq cm)?
17. 17.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 25 cm?
18. 18.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
19. 19.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 6 cm?
20. 20.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)
21. 21.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 15 cm?
22. 22.A box is 15 cm long, 15 cm wide and 8 cm high. What is its volume (in cubic cm)?
23. 23.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 10 cm?
24. 24.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
25. 25.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
26. 26.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
27. 27.A box is 13 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
28. 28.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 12 cm?
29. 29.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)?
30. 30.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)?
31. 31.A fish tank is 70 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
32. 32.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)?
33. 33.A closed box is 15 cm long, 14 cm wide and 2 cm high. What is its total surface area (in sq cm)?
34. 34.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 6 cm?
35. 35.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
36. 36.A cylinder has a radius of 7 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
37. 37.A closed box is 11 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
38. 38.A closed box is 8 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
39. 39.A box is 13 cm long, 9 cm wide and 9 cm high. What is its volume (in cubic cm)?
40. 40.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 24 cm?

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