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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 552 · 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 120 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A closed box is 8 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  3. 3.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)?
  4. 4.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  5. 5.A box is 17 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  6. 6.A fish tank is 110 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  9. 9.A box is 7 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
  10. 10.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 12 cm × 24 cm?
  11. 11.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.A closed box is 13 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  13. 13.A fish tank is 30 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.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)?
  15. 15.A fish tank is 30 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.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)?
  17. 17.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 12 cm?
  18. 18.A box is 20 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
  19. 19.A box is 15 cm long, 4 cm wide and 12 cm high. What is its volume (in cubic cm)?
  20. 20.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 6 cm × 12 cm?
  21. 21.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.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)?
  23. 23.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)?
  24. 24.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 10 cm?
  25. 25.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)?
  26. 26.A fish tank is 40 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A box is 19 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
  28. 28.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  29. 29.A fish tank is 100 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.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)?
  31. 31.A closed box is 3 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  32. 32.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  33. 33.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A closed box is 4 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  35. 35.A fish tank is 70 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A fish tank is 40 cm long, 60 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  38. 38.A box is 14 cm long, 13 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 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.A box is 7 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?

Answer key

  1. 420
  2. 352
  3. 2002
  4. 8
  5. 170
  6. 550
  7. 572
  8. 343
  9. 616
  10. 90
  11. 132
  12. 418
  13. 96
  14. 27720
  15. 135
  16. 616
  17. 60
  18. 320
  19. 720
  20. 16
  21. 2772
  22. 968
  23. 264
  24. 8
  25. 88
  26. 192
  27. 228
  28. 24
  29. 120
  30. 8316
  31. 62
  32. 2197
  33. 1496
  34. 52
  35. 441
  36. 120
  37. 294
  38. 546
  39. 23562
  40. 630

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