Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 290 · 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 volume (in cubic cm)?
2. 2.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 12 cm?
3. 3.A fish tank is 100 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
4. 4.A fish tank is 40 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
5. 5.A fish tank is 40 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
6. 6.A box is 8 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?
7. 7.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 8 cm?
8. 8.A box is 15 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
9. 9.A closed box is 9 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
10. 10.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
11. 11.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
12. 12.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)?
13. 13.A fish tank is 80 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
14. 14.A closed box is 4 cm long, 10 cm wide and 4 cm high. What is its total surface area (in sq cm)?
15. 15.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 15 cm?
16. 16.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
17. 17.A closed box is 9 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
18. 18.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)?
19. 19.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
20. 20.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
21. 21.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
22. 22.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 12 cm?
23. 23.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)?
24. 24.A fish tank is 80 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
25. 25.A closed box is 17 cm long, 3 cm wide and 12 cm high. What is its total surface area (in sq cm)?
26. 26.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 24 cm × 20 cm?
27. 27.A closed box is 4 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
28. 28.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
29. 29.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)?
30. 30.A box is 7 cm long, 5 cm wide and 11 cm high. What is its volume (in cubic cm)?
31. 31.A closed box is 13 cm long, 5 cm wide and 4 cm high. What is its total surface area (in sq cm)?
32. 32.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 6 cm?
33. 33.A box is 7 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
34. 34.A fish tank is 50 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
35. 35.A fish tank is 30 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
36. 36.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
37. 37.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 12 cm?
38. 38.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
39. 39.A box is 6 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
40. 40.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?

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