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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 209 · 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 box is 8 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
  2. 2.A closed box is 7 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  3. 3.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 16 cm × 16 cm?
  4. 4.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)?
  5. 5.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  6. 6.A closed box is 11 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  7. 7.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 10 cm?
  8. 8.A fish tank is 90 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.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)?
  10. 10.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  13. 13.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.A box is 10 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
  15. 15.A closed box is 6 cm long, 12 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  16. 16.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 10 cm × 25 cm?
  17. 17.A closed box is 5 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  18. 18.A box is 11 cm long, 12 cm wide and 11 cm high. What is its volume (in cubic cm)?
  19. 19.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  20. 20.A closed box is 19 cm long, 9 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  21. 21.A box is 14 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
  22. 22.A box is 20 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  23. 23.A closed box is 16 cm long, 3 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  24. 24.A box is 10 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  25. 25.A closed box is 19 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  26. 26.A closed box is 18 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  27. 27.A closed box is 12 cm long, 4 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  28. 28.A box is 11 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
  29. 29.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  30. 30.A closed box is 3 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  31. 31.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  32. 32.A box is 5 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
  33. 33.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A fish tank is 60 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 cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A box is 20 cm long, 8 cm wide and 11 cm high. What is its volume (in cubic cm)?
  37. 37.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 8 cm?
  38. 38.A closed box is 5 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  39. 39.A closed box is 20 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  40. 40.A closed box is 5 cm long, 3 cm wide and 12 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 936
  2. 298
  3. 48
  4. 2772
  5. 64
  6. 96
  7. 12
  8. 108
  9. 1760
  10. 5544
  11. 4158
  12. 216
  13. 132
  14. 480
  15. 540
  16. 50
  17. 188
  18. 1452
  19. 2744
  20. 958
  21. 560
  22. 660
  23. 324
  24. 150
  25. 1198
  26. 552
  27. 256
  28. 462
  29. 1144
  30. 110
  31. 600
  32. 75
  33. 836
  34. 60
  35. 27720
  36. 1760
  37. 40
  38. 270
  39. 350
  40. 222

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