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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 38 · 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 14 cm long, 8 cm wide and 10 cm high. What is its volume (in cubic cm)?
  2. 2.A box is 16 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
  3. 3.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  4. 4.A closed box is 20 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  5. 5.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  6. 6.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  7. 7.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  8. 8.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  9. 9.A pipe (a cylinder) has a radius of 6 cm and a length of 7 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 fish tank is 50 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 24 cm × 8 cm?
  13. 13.A closed box is 5 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  14. 14.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)?
  15. 15.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A closed box is 16 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  17. 17.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 18 cm × 12 cm?
  18. 18.A closed box is 13 cm long, 14 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  19. 19.A closed box is 4 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  20. 20.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)?
  21. 21.A box is 10 cm long, 10 cm wide and 11 cm high. What is its volume (in cubic cm)?
  22. 22.A box is 8 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
  23. 23.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  24. 24.A fish tank is 100 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A fish tank is 50 cm long, 40 cm wide and 30 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 13 cm. What is its total surface area (in sq cm)?
  27. 27.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.A fish tank is 100 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  30. 30.A closed box is 17 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  31. 31.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  32. 32.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  33. 33.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  34. 34.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 18 cm × 6 cm?
  36. 36.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)?
  37. 37.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)?
  38. 38.A box is 18 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
  39. 39.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  40. 40.A fish tank is 60 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 1120
  2. 1760
  3. 726
  4. 432
  5. 8
  6. 54
  7. 729
  8. 616
  9. 264
  10. 5544
  11. 140
  12. 24
  13. 184
  14. 1760
  15. 1540
  16. 496
  17. 144
  18. 634
  19. 386
  20. 1694
  21. 1100
  22. 144
  23. 384
  24. 560
  25. 60
  26. 1014
  27. 44
  28. 420
  29. 792
  30. 144
  31. 2197
  32. 24
  33. 294
  34. 572
  35. 24
  36. 5544
  37. 19404
  38. 504
  39. 512
  40. 180

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