Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 223 · 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 4 cm fit exactly in a box that is 20 cm × 12 cm × 16 cm?
2. 2.A fish tank is 90 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
3. 3.A fish tank is 30 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
4. 4.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
5. 5.A closed box is 17 cm long, 11 cm wide and 6 cm high. What is its total surface area (in sq cm)?
6. 6.A closed box is 14 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
7. 7.A closed box is 10 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
8. 8.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 6 cm × 18 cm?
9. 9.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 18 cm?
10. 10.A box is 5 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
11. 11.A closed box is 8 cm long, 14 cm wide and 11 cm high. What is its total surface area (in sq cm)?
12. 12.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
13. 13.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 10 cm?
14. 14.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 24 cm?
15. 15.A box is 5 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
16. 16.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
17. 17.A closed box is 4 cm long, 11 cm wide and 2 cm high. What is its total surface area (in sq cm)?
18. 18.A closed box is 13 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
19. 19.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)?
20. 20.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)?
21. 21.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)?
22. 22.A closed box is 5 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
23. 23.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 16 cm?
24. 24.A fish tank is 60 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
25. 25.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)?
26. 26.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
27. 27.A closed box is 3 cm long, 6 cm wide and 10 cm high. What is its total surface area (in sq cm)?
28. 28.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
29. 29.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)
30. 30.A fish tank is 40 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
31. 31.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
32. 32.A box is 18 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
33. 33.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
34. 34.A closed box is 14 cm long, 6 cm wide and 11 cm high. What is its total surface area (in sq cm)?
35. 35.A box is 20 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
36. 36.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
37. 37.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)?
38. 38.A box is 14 cm long, 7 cm wide and 12 cm high. What is its volume (in cubic cm)?
39. 39.A pipe (a cylinder) has a radius of 14 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
40. 40.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 30 cm?

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