Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 58 · 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 9 cm × 18 cm × 6 cm?
2. 2.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
3. 3.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
4. 4.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
5. 5.A fish tank is 90 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
6. 6.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)?
7. 7.A pipe (a cylinder) has a radius of 12 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
8. 8.A fish tank is 80 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
9. 9.A box is 10 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
10. 10.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
11. 11.A fish tank is 90 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
12. 12.A fish tank is 90 cm long, 70 cm wide and 20 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 13 cm. What is its volume (in cubic cm)?
14. 14.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
15. 15.A box is 15 cm long, 6 cm wide and 4 cm high. What is its volume (in cubic cm)?
16. 16.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
17. 17.A closed box is 15 cm long, 7 cm wide and 6 cm high. What is its total surface area (in sq cm)?
18. 18.A box is 19 cm long, 15 cm wide and 10 cm high. What is its volume (in cubic cm)?
19. 19.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)?
20. 20.A box is 6 cm long, 12 cm wide and 12 cm high. What is its volume (in cubic cm)?
21. 21.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
22. 22.A box is 3 cm long, 13 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 30 cm × 20 cm × 20 cm?
24. 24.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
25. 25.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 20 cm?
26. 26.A box is 8 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
27. 27.A fish tank is 80 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
28. 28.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
29. 29.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
30. 30.A closed box is 8 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
31. 31.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
32. 32.A cylinder has a radius of 14 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
33. 33.A box is 8 cm long, 11 cm wide and 7 cm high. What is its volume (in cubic cm)?
34. 34.A pipe (a cylinder) has a radius of 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
35. 35.A fish tank is 30 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
36. 36.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 25 cm × 25 cm?
37. 37.A box is 5 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
38. 38.A closed box is 16 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
39. 39.A fish tank is 30 cm long, 70 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
40. 40.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?

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