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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 174 · 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 fish tank is 60 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A box is 16 cm long, 15 cm wide and 8 cm high. What is its volume (in cubic cm)?
  3. 3.A cylinder has a radius of 7 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 10 cm?
  5. 5.A box is 20 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  6. 6.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  7. 7.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  8. 8.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 10 cm?
  9. 9.A box is 13 cm long, 8 cm wide and 3 cm high. What is its volume (in cubic cm)?
  10. 10.A closed box is 8 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  11. 11.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  13. 13.A box is 8 cm long, 10 cm wide and 9 cm high. What is its volume (in cubic cm)?
  14. 14.A pipe (a cylinder) has a radius of 7 cm and a length of 15 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 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A fish tank is 30 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 12 cm × 24 cm?
  18. 18.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 8 cm?
  19. 19.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.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)?
  21. 21.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A box is 17 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
  24. 24.A closed box is 17 cm long, 6 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  25. 25.A box is 3 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
  26. 26.A closed box is 18 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  27. 27.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  28. 28.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  29. 29.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)?
  30. 30.A closed box is 8 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  31. 31.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  32. 32.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 10 cm?
  33. 33.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 12 cm?
  34. 34.A fish tank is 30 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A box is 10 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
  36. 36.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 30 cm?
  37. 37.A cylinder has a radius of 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 10 cm?
  39. 39.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.A box is 16 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?

Answer key

  1. 192
  2. 1920
  3. 1848
  4. 60
  5. 3360
  6. 1728
  7. 150
  8. 50
  9. 312
  10. 112
  11. 19404
  12. 1331
  13. 720
  14. 660
  15. 1386
  16. 60
  17. 108
  18. 40
  19. 13860
  20. 1144
  21. 924
  22. 2618
  23. 2618
  24. 296
  25. 108
  26. 320
  27. 3375
  28. 486
  29. 8624
  30. 552
  31. 96
  32. 75
  33. 48
  34. 18
  35. 180
  36. 120
  37. 8316
  38. 24
  39. 6160
  40. 576

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