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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 381 · 40 questions
TalentJR

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).

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

Answer key

  1. 60
  2. 847
  3. 376
  4. 378
  5. 48
  6. 144
  7. 12320
  8. 702
  9. 20
  10. 84
  11. 810
  12. 486
  13. 1694
  14. 12
  15. 864
  16. 672
  17. 120
  18. 357
  19. 2197
  20. 900
  21. 216
  22. 640
  23. 3080
  24. 27
  25. 864
  26. 270
  27. 8624
  28. 862
  29. 2772
  30. 6776
  31. 1728
  32. 364
  33. 1666
  34. 2002
  35. 412
  36. 340
  37. 24
  38. 144
  39. 144
  40. 198

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