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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 475 · 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 11 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
  2. 2.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A box is 12 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
  4. 4.A box is 18 cm long, 10 cm wide and 9 cm high. What is its volume (in cubic cm)?
  5. 5.A box is 17 cm long, 10 cm wide and 2 cm high. What is its volume (in cubic cm)?
  6. 6.A box is 13 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
  7. 7.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)?
  8. 8.A closed box is 17 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  9. 9.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)?
  10. 10.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 12 cm × 15 cm?
  11. 11.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)?
  12. 12.A fish tank is 80 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A cylinder has a radius of 21 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A fish tank is 30 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A box is 10 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  16. 16.A fish tank is 120 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 9 cm?
  18. 18.A box is 13 cm long, 13 cm wide and 12 cm high. What is its volume (in cubic cm)?
  19. 19.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  20. 20.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  21. 21.A box is 4 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
  22. 22.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 12 cm × 18 cm?
  23. 23.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  24. 24.A box is 7 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
  25. 25.A closed box is 5 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  26. 26.A box is 7 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  27. 27.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)?
  28. 28.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 10 cm?
  29. 29.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 6 cm × 6 cm?
  30. 30.A box is 11 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
  31. 31.A box is 14 cm long, 14 cm wide and 2 cm high. What is its volume (in cubic cm)?
  32. 32.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  33. 33.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  35. 35.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  36. 36.A box is 11 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
  37. 37.A fish tank is 50 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A box is 7 cm long, 9 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.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)?

Answer key

  1. 990
  2. 2772
  3. 324
  4. 1620
  5. 340
  6. 1365
  7. 3696
  8. 334
  9. 1540
  10. 40
  11. 660
  12. 216
  13. 26334
  14. 45
  15. 180
  16. 72
  17. 18
  18. 2028
  19. 384
  20. 770
  21. 112
  22. 120
  23. 1584
  24. 420
  25. 110
  26. 63
  27. 9240
  28. 20
  29. 54
  30. 462
  31. 392
  32. 1000
  33. 220
  34. 486
  35. 216
  36. 968
  37. 100
  38. 189
  39. 1848
  40. 2772

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