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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 255 · 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 21 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A box is 3 cm long, 14 cm wide and 7 cm high. What is its volume (in cubic cm)?
  6. 6.A box is 7 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
  7. 7.A closed box is 19 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  8. 8.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)?
  9. 9.A fish tank is 80 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A closed box is 15 cm long, 11 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  11. 11.A box is 12 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  12. 12.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)?
  13. 13.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.A closed box is 4 cm long, 12 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  15. 15.A fish tank is 110 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A fish tank is 70 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.A box is 12 cm long, 12 cm wide and 12 cm high. What is its volume (in cubic cm)?
  19. 19.A box is 17 cm long, 10 cm wide and 8 cm high. What is its volume (in cubic cm)?
  20. 20.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  21. 21.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)?
  22. 22.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)?
  23. 23.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  24. 24.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)?
  25. 25.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)?
  26. 26.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  27. 27.A fish tank is 50 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 4 cm?
  29. 29.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 16 cm?
  30. 30.A box is 19 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  31. 31.A closed box is 19 cm long, 5 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  32. 32.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  33. 33.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 4 cm?
  34. 34.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  35. 35.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)?
  36. 36.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)?
  37. 37.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  38. 38.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  39. 39.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  40. 40.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)?

Answer key

  1. 26334
  2. 10472
  3. 308
  4. 2156
  5. 294
  6. 441
  7. 1078
  8. 1694
  9. 288
  10. 642
  11. 360
  12. 616
  13. 836
  14. 256
  15. 231
  16. 70
  17. 1848
  18. 1728
  19. 1360
  20. 27
  21. 88
  22. 19404
  23. 216
  24. 5544
  25. 220
  26. 3375
  27. 100
  28. 30
  29. 64
  30. 190
  31. 382
  32. 216
  33. 12
  34. 864
  35. 770
  36. 1386
  37. 440
  38. 2744
  39. 1331
  40. 5544

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