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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 47 · 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 10 cm long, 10 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  2. 2.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  3. 3.A box is 8 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
  4. 4.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 18 cm?
  5. 5.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)?
  6. 6.A fish tank is 120 cm long, 30 cm wide and 90 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 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.A closed box is 8 cm long, 9 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  9. 9.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  10. 10.A closed box is 8 cm long, 10 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  11. 11.A cylinder has a radius of 7 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 25 cm?
  13. 13.A box is 13 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
  14. 14.A closed box is 14 cm long, 12 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  15. 15.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  16. 16.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  17. 17.A closed box is 4 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  18. 18.A cylinder has a radius of 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  19. 19.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 15 cm × 9 cm?
  20. 20.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 8 cm?
  21. 21.A box is 5 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
  22. 22.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
  23. 23.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  24. 24.A closed box is 14 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  25. 25.A fish tank is 30 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  27. 27.A closed box is 7 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  28. 28.A box is 7 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
  29. 29.A box is 15 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
  30. 30.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  31. 31.A pipe (a cylinder) has a radius of 8 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 8 cm?
  33. 33.A closed box is 20 cm long, 6 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  34. 34.A fish tank is 60 cm long, 80 cm wide and 20 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 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A closed box is 12 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  37. 37.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 30 cm × 15 cm?
  38. 38.A box is 10 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  39. 39.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)?
  40. 40.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 12 cm × 15 cm?

Answer key

  1. 600
  2. 88
  3. 168
  4. 60
  5. 748
  6. 324
  7. 1386
  8. 348
  9. 150
  10. 232
  11. 1078
  12. 100
  13. 624
  14. 700
  15. 1014
  16. 96
  17. 136
  18. 9702
  19. 75
  20. 16
  21. 105
  22. 27
  23. 1176
  24. 220
  25. 36
  26. 600
  27. 262
  28. 210
  29. 270
  30. 54
  31. 704
  32. 48
  33. 552
  34. 96
  35. 4158
  36. 494
  37. 108
  38. 300
  39. 1848
  40. 100

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