Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 166 · 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 20 cm. What is its volume (take π = 22/7; in cubic cm)?
2. 2.A box is 18 cm long, 8 cm wide and 2 cm high. What is its volume (in cubic cm)?
3. 3.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
4. 4.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
5. 5.A box is 7 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
6. 6.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 20 cm?
7. 7.A pipe (a cylinder) has a radius of 7 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
8. 8.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 30 cm × 10 cm?
9. 9.A fish tank is 40 cm long, 50 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
10. 10.A box is 5 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
11. 11.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
12. 12.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
13. 13.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
14. 14.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
15. 15.A box is 9 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
16. 16.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)?
17. 17.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
18. 18.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)?
19. 19.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 12 cm × 20 cm?
20. 20.A box is 17 cm long, 13 cm wide and 12 cm high. What is its volume (in cubic cm)?
21. 21.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
22. 22.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
23. 23.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
24. 24.A closed box is 17 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
25. 25.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 10 cm?
26. 26.A fish tank is 30 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
27. 27.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)?
28. 28.A box is 15 cm long, 8 cm wide and 12 cm high. What is its volume (in cubic cm)?
29. 29.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 10 cm?
30. 30.A closed box is 11 cm long, 3 cm wide and 8 cm high. What is its total surface area (in sq cm)?
31. 31.A fish tank is 70 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
32. 32.A fish tank is 30 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
33. 33.A fish tank is 100 cm long, 100 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
34. 34.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 12 cm?
35. 35.A fish tank is 110 cm long, 20 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
36. 36.A fish tank is 70 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
37. 37.A fish tank is 100 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
38. 38.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 12 cm?
39. 39.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
40. 40.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 8 cm?

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