Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 574 · 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 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
2. 2.A pipe (a cylinder) has a radius of 13 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
3. 3.A fish tank is 100 cm long, 50 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
4. 4.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)?
5. 5.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 9 cm × 6 cm?
6. 6.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
7. 7.A box is 9 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
8. 8.A closed box is 20 cm long, 8 cm wide and 9 cm high. What is its total surface area (in sq cm)?
9. 9.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
10. 10.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 6 cm × 6 cm?
11. 11.A closed box is 19 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
12. 12.A fish tank is 70 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
13. 13.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)
14. 14.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 10 cm?
15. 15.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 8 cm?
16. 16.A fish tank is 90 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
17. 17.A fish tank is 60 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
18. 18.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
19. 19.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
20. 20.A fish tank is 60 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
21. 21.A box is 20 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
22. 22.A closed box is 10 cm long, 14 cm wide and 2 cm high. What is its total surface area (in sq cm)?
23. 23.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
24. 24.A box is 18 cm long, 12 cm wide and 8 cm high. What is its volume (in cubic cm)?
25. 25.A fish tank is 50 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
26. 26.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
27. 27.A box is 16 cm long, 10 cm wide and 2 cm high. What is its volume (in cubic cm)?
28. 28.A closed box is 4 cm long, 10 cm wide and 11 cm high. What is its total surface area (in sq cm)?
29. 29.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 12 cm × 9 cm?
30. 30.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 10 cm × 10 cm?
31. 31.A box is 9 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
32. 32.A box is 5 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
33. 33.A closed box is 20 cm long, 13 cm wide and 6 cm high. What is its total surface area (in sq cm)?
34. 34.A box is 12 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
35. 35.A closed box is 20 cm long, 9 cm wide and 2 cm high. What is its total surface area (in sq cm)?
36. 36.A box is 3 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
37. 37.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
38. 38.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
39. 39.A fish tank is 100 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
40. 40.A box is 19 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?

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