Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 354 · 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 closed box is 9 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
2. 2.A box is 6 cm long, 12 cm wide and 12 cm high. What is its volume (in cubic cm)?
3. 3.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 30 cm × 10 cm?
4. 4.A box is 4 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
5. 5.A box is 10 cm long, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?
6. 6.A closed box is 7 cm long, 9 cm wide and 4 cm high. What is its total surface area (in sq cm)?
7. 7.A closed box is 3 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
8. 8.A box is 7 cm long, 8 cm wide and 3 cm high. What is its volume (in cubic cm)?
9. 9.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 15 cm?
10. 10.A box is 7 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
11. 11.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 9 cm × 12 cm?
12. 12.A closed box is 18 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
13. 13.A cylinder has a radius of 7 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
14. 14.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)?
15. 15.A closed box is 13 cm long, 13 cm wide and 5 cm high. What is its total surface area (in sq cm)?
16. 16.A fish tank is 80 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
17. 17.A fish tank is 80 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
18. 18.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)?
19. 19.A box is 3 cm long, 8 cm wide and 5 cm high. What is its volume (in cubic cm)?
20. 20.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
21. 21.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
22. 22.A fish tank is 90 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
23. 23.A closed box is 8 cm long, 12 cm wide and 6 cm high. What is its total surface area (in sq cm)?
24. 24.A fish tank is 40 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
25. 25.A closed box is 12 cm long, 11 cm wide and 2 cm high. What is its total surface area (in sq cm)?
26. 26.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
27. 27.A closed box is 17 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
28. 28.A fish tank is 70 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
29. 29.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 9 cm × 12 cm?
30. 30.A fish tank is 50 cm long, 20 cm wide and 30 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 13 cm. What is its total surface area (in sq cm)?
32. 32.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
33. 33.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)?
34. 34.A closed box is 6 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
35. 35.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 18 cm × 9 cm?
36. 36.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 20 cm?
37. 37.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
38. 38.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 8 cm?
39. 39.A fish tank is 50 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
40. 40.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?

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