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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 509 · 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).

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  1. 1.A closed box is 18 cm long, 14 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  2. 2.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  3. 3.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 18 cm?
  4. 4.A box is 17 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
  5. 5.A fish tank is 120 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.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)?
  9. 9.A closed box is 20 cm long, 14 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  10. 10.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  11. 11.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A closed box is 7 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  13. 13.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 24 cm?
  14. 14.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  15. 15.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 12 cm?
  17. 17.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 16 cm?
  18. 18.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  19. 19.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 8 cm?
  20. 20.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  21. 21.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 10 cm?
  22. 22.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 6 cm?
  23. 23.A fish tank is 60 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.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)?
  25. 25.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 16 cm?
  26. 26.A pipe (a cylinder) has a radius of 14 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  27. 27.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 4 cm?
  28. 28.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)?
  29. 29.A box is 3 cm long, 15 cm wide and 9 cm high. What is its volume (in cubic cm)?
  30. 30.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 12 cm × 4 cm?
  31. 31.A closed box is 14 cm long, 10 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  32. 32.A closed box is 7 cm long, 8 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  33. 33.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)?
  34. 34.A closed box is 7 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  35. 35.A closed box is 16 cm long, 9 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  36. 36.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)?
  37. 37.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 20 cm?
  38. 38.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 12 cm?
  39. 39.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 12 cm?
  40. 40.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 6 cm?

Answer key

  1. 1016
  2. 1056
  3. 90
  4. 306
  5. 72
  6. 2772
  7. 462
  8. 1496
  9. 832
  10. 343
  11. 2464
  12. 358
  13. 48
  14. 150
  15. 5544
  16. 96
  17. 80
  18. 484
  19. 32
  20. 96
  21. 100
  22. 12
  23. 48
  24. 1760
  25. 36
  26. 264
  27. 40
  28. 748
  29. 405
  30. 48
  31. 376
  32. 442
  33. 27720
  34. 462
  35. 438
  36. 26334
  37. 30
  38. 72
  39. 60
  40. 30

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