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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 437 · 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 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  3. 3.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  4. 4.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A closed box is 4 cm long, 6 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  7. 7.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  8. 8.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)?
  9. 9.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)?
  10. 10.A box is 11 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
  11. 11.A fish tank is 40 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 12 cm?
  13. 13.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)?
  14. 14.A fish tank is 100 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A fish tank is 90 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A cube has an edge of 5 cm. 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 9 cm × 12 cm × 15 cm?
  18. 18.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)?
  19. 19.A box is 6 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
  20. 20.A closed box is 8 cm long, 6 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  21. 21.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)?
  22. 22.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 6 cm × 6 cm?
  23. 23.A fish tank is 100 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 8 cm?
  25. 25.A box is 14 cm long, 6 cm wide and 9 cm high. What is its volume (in cubic cm)?
  26. 26.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  27. 27.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 24 cm × 24 cm?
  28. 28.A closed box is 7 cm long, 9 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  29. 29.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 18 cm?
  30. 30.A closed box is 7 cm long, 5 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  31. 31.A fish tank is 30 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A box is 13 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
  33. 33.A cylinder has a radius of 14 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  35. 35.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)?
  36. 36.A box is 8 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  37. 37.A box is 7 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?
  38. 38.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  39. 39.A box is 3 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?
  40. 40.A box is 14 cm long, 9 cm wide and 5 cm high. What is its volume (in cubic cm)?

Answer key

  1. 308
  2. 2197
  3. 1331
  4. 924
  5. 1232
  6. 248
  7. 64
  8. 220
  9. 1386
  10. 154
  11. 60
  12. 96
  13. 770
  14. 400
  15. 162
  16. 150
  17. 60
  18. 264
  19. 702
  20. 236
  21. 12474
  22. 20
  23. 240
  24. 12
  25. 756
  26. 216
  27. 180
  28. 478
  29. 36
  30. 166
  31. 48
  32. 286
  33. 4928
  34. 8
  35. 9702
  36. 1344
  37. 364
  38. 2744
  39. 84
  40. 630

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