Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 494 · 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 16 cm × 12 cm × 24 cm?
2. 2.A closed box is 19 cm long, 12 cm wide and 8 cm high. What is its total surface area (in sq cm)?
3. 3.A fish tank is 30 cm long, 70 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
4. 4.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 18 cm?
5. 5.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 8 cm?
6. 6.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 20 cm?
7. 7.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 6 cm?
8. 8.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 20 cm?
9. 9.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
10. 10.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 25 cm × 10 cm?
11. 11.A closed box is 6 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
12. 12.A cylinder has a radius of 21 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
13. 13.A closed box is 12 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
14. 14.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
15. 15.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
16. 16.A box is 9 cm long, 15 cm wide and 8 cm high. What is its volume (in cubic cm)?
17. 17.A pipe (a cylinder) has a radius of 14 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
18. 18.A closed box is 9 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
19. 19.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 20 cm?
20. 20.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
21. 21.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 6 cm × 18 cm?
22. 22.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 15 cm?
23. 23.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
24. 24.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
25. 25.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
26. 26.A closed box is 9 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
27. 27.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 9 cm?
28. 28.A closed box is 5 cm long, 13 cm wide and 5 cm high. What is its total surface area (in sq cm)?
29. 29.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)?
30. 30.A fish tank is 90 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
31. 31.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 9 cm × 6 cm?
32. 32.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)?
33. 33.A fish tank is 40 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
34. 34.A fish tank is 80 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
35. 35.A box is 16 cm long, 2 cm wide and 10 cm high. What is its volume (in cubic cm)?
36. 36.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
37. 37.A fish tank is 90 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
38. 38.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 25 cm?
39. 39.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
40. 40.A fish tank is 70 cm long, 60 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

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