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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 165 · 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 fish tank is 90 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.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)?
  3. 3.A box is 19 cm long, 12 cm wide and 6 cm high. What is its volume (in cubic cm)?
  4. 4.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  5. 5.A fish tank is 70 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A fish tank is 120 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  8. 8.A closed box is 9 cm long, 2 cm wide and 4 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 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A fish tank is 120 cm long, 40 cm wide and 70 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 15 cm. What is its volume (in cubic cm)?
  12. 12.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 10 cm?
  13. 13.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 30 cm × 15 cm?
  14. 14.A box is 3 cm long, 13 cm wide and 8 cm high. What is its volume (in cubic cm)?
  15. 15.A fish tank is 30 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A closed box is 9 cm long, 10 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  17. 17.A box is 7 cm long, 9 cm wide and 5 cm high. What is its volume (in cubic cm)?
  18. 18.A closed box is 6 cm long, 9 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  19. 19.A closed box is 7 cm long, 9 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  20. 20.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  21. 21.A fish tank is 40 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A closed box is 10 cm long, 15 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  23. 23.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  24. 24.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.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)?
  27. 27.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)?
  28. 28.A box is 11 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
  29. 29.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  30. 30.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 10 cm × 20 cm?
  31. 31.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  32. 32.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  33. 33.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)?
  34. 34.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  35. 35.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  36. 36.A box is 9 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
  37. 37.A pipe (a cylinder) has a radius of 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  38. 38.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 8 cm?
  40. 40.A closed box is 11 cm long, 14 cm wide and 5 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 324
  2. 770
  3. 1368
  4. 726
  5. 560
  6. 720
  7. 1350
  8. 124
  9. 1848
  10. 336
  11. 3375
  12. 120
  13. 54
  14. 312
  15. 54
  16. 408
  17. 315
  18. 348
  19. 382
  20. 27720
  21. 84
  22. 450
  23. 1000
  24. 1056
  25. 11704
  26. 10472
  27. 924
  28. 924
  29. 1672
  30. 40
  31. 1728
  32. 24948
  33. 5544
  34. 384
  35. 294
  36. 108
  37. 968
  38. 2002
  39. 48
  40. 558

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