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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 576 · 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 90 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.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)?
  3. 3.A pipe (a cylinder) has a radius of 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A closed box is 6 cm long, 6 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  5. 5.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  6. 6.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.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)?
  8. 8.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 12 cm?
  9. 9.A fish tank is 90 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  11. 11.A box is 7 cm long, 5 cm wide and 7 cm high. What is its volume (in cubic cm)?
  12. 12.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)?
  13. 13.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)?
  14. 14.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  15. 15.A box is 8 cm long, 3 cm wide and 4 cm high. What is its volume (in cubic cm)?
  16. 16.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 20 cm?
  17. 17.A closed box is 11 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  18. 18.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 20 cm?
  19. 19.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)?
  20. 20.A box is 5 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
  21. 21.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 30 cm?
  22. 22.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 15 cm?
  23. 23.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  24. 24.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  25. 25.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 18 cm?
  26. 26.A closed box is 7 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  27. 27.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)?
  28. 28.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  29. 29.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
  30. 30.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.A fish tank is 100 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A pipe (a cylinder) has a radius of 13 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A closed box is 11 cm long, 14 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  34. 34.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.A box is 11 cm long, 9 cm wide and 8 cm high. What is its volume (in cubic cm)?
  36. 36.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)?
  37. 37.A closed box is 8 cm long, 5 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  38. 38.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.A fish tank is 90 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A box is 14 cm long, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?

Answer key

  1. 324
  2. 264
  3. 880
  4. 336
  5. 512
  6. 9240
  7. 4158
  8. 18
  9. 144
  10. 729
  11. 245
  12. 1848
  13. 748
  14. 726
  15. 96
  16. 72
  17. 514
  18. 30
  19. 1694
  20. 250
  21. 108
  22. 50
  23. 2310
  24. 1176
  25. 90
  26. 238
  27. 3696
  28. 1350
  29. 27
  30. 176
  31. 120
  32. 1144
  33. 658
  34. 1672
  35. 792
  36. 6776
  37. 184
  38. 16632
  39. 288
  40. 840

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