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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 143 · 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 cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 10 cm?
  3. 3.A closed box is 14 cm long, 6 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  4. 4.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 6 cm × 10 cm?
  5. 5.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 20 cm?
  6. 6.A box is 10 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
  7. 7.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 20 cm?
  8. 8.A fish tank is 30 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  10. 10.A box is 10 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
  11. 11.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 9 cm × 12 cm?
  12. 12.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  13. 13.A box is 13 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
  14. 14.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 16 cm × 16 cm?
  15. 15.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  17. 17.A cube has an edge of 12 cm. 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 8 cm × 20 cm × 12 cm?
  19. 19.A box is 9 cm long, 8 cm wide and 2 cm high. What is its volume (in cubic cm)?
  20. 20.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  21. 21.A fish tank is 110 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A closed box is 14 cm long, 8 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  23. 23.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)?
  24. 24.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  26. 26.A box is 5 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
  27. 27.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  28. 28.A closed box is 4 cm long, 4 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  29. 29.A closed box is 17 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  30. 30.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)?
  31. 31.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 20 cm?
  32. 32.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)?
  33. 33.A box is 20 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
  34. 34.A fish tank is 30 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A closed box is 7 cm long, 13 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  36. 36.A closed box is 20 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  37. 37.A closed box is 12 cm long, 13 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  38. 38.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 15 cm × 25 cm?
  39. 39.A pipe (a cylinder) has a radius of 12 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.A box is 11 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?

Answer key

  1. 5544
  2. 12
  3. 288
  4. 90
  5. 24
  6. 1540
  7. 80
  8. 27
  9. 125
  10. 450
  11. 36
  12. 729
  13. 546
  14. 48
  15. 12474
  16. 216
  17. 864
  18. 30
  19. 144
  20. 8
  21. 440
  22. 400
  23. 1540
  24. 220
  25. 1176
  26. 300
  27. 216
  28. 208
  29. 958
  30. 1848
  31. 120
  32. 616
  33. 520
  34. 18
  35. 302
  36. 652
  37. 912
  38. 75
  39. 528
  40. 308

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