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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 277 · 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 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A box is 16 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
  3. 3.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  4. 4.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  5. 5.A box is 4 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
  6. 6.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  7. 7.A fish tank is 110 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  9. 9.A box is 15 cm long, 8 cm wide and 7 cm high. What is its volume (in cubic cm)?
  10. 10.A fish tank is 60 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  12. 12.A box is 20 cm long, 12 cm wide and 11 cm high. What is its volume (in cubic cm)?
  13. 13.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 4 cm?
  16. 16.A box is 13 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
  17. 17.A closed box is 6 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  18. 18.A fish tank is 90 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A box is 4 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  20. 20.A fish tank is 60 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A fish tank is 80 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.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)?
  24. 24.A box is 13 cm long, 8 cm wide and 10 cm high. What is its volume (in cubic cm)?
  25. 25.A fish tank is 70 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A box is 15 cm long, 4 cm wide and 5 cm high. What is its volume (in cubic cm)?
  27. 27.A fish tank is 40 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.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)?
  29. 29.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)?
  30. 30.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  32. 32.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  34. 34.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 20 cm?
  35. 35.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)?
  36. 36.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 20 cm?
  37. 37.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 16 cm?
  38. 38.A box is 14 cm long, 11 cm wide and 3 cm high. What is its volume (in cubic cm)?
  39. 39.A cylinder has a radius of 21 cm and a height of 13 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 5 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 8316
  2. 576
  3. 27
  4. 150
  5. 128
  6. 1728
  7. 132
  8. 512
  9. 840
  10. 48
  11. 384
  12. 2640
  13. 2618
  14. 462
  15. 30
  16. 1573
  17. 344
  18. 288
  19. 36
  20. 108
  21. 264
  22. 224
  23. 5544
  24. 1040
  25. 224
  26. 300
  27. 16
  28. 1540
  29. 308
  30. 1232
  31. 216
  32. 396
  33. 3375
  34. 120
  35. 2772
  36. 90
  37. 40
  38. 462
  39. 18018
  40. 770

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