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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 206 · 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, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 12 cm?
  3. 3.A fish tank is 120 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  5. 5.A fish tank is 120 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.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)?
  7. 7.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.A fish tank is 70 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A closed box is 19 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  10. 10.A fish tank is 110 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.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)?
  12. 12.A closed box is 9 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  13. 13.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  14. 14.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 12 cm × 4 cm?
  16. 16.A closed box is 18 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  17. 17.A box is 4 cm long, 8 cm wide and 12 cm high. What is its volume (in cubic cm)?
  18. 18.A box is 6 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
  19. 19.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  20. 20.A fish tank is 50 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A box is 14 cm long, 14 cm wide and 2 cm high. What is its volume (in cubic cm)?
  23. 23.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  24. 24.A fish tank is 90 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A closed box is 3 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  26. 26.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 10 cm?
  27. 27.A box is 9 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
  28. 28.A fish tank is 50 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A cylinder has a radius of 21 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A pipe (a cylinder) has a radius of 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.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)?
  32. 32.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  33. 33.A closed box is 3 cm long, 8 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  34. 34.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.A box is 6 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
  36. 36.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
  37. 37.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.A box is 5 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
  39. 39.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 6 cm?
  40. 40.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 450
  2. 90
  3. 432
  4. 512
  5. 600
  6. 2618
  7. 4312
  8. 441
  9. 290
  10. 154
  11. 2002
  12. 342
  13. 729
  14. 704
  15. 60
  16. 810
  17. 384
  18. 36
  19. 1000
  20. 20
  21. 6160
  22. 392
  23. 486
  24. 324
  25. 72
  26. 24
  27. 324
  28. 135
  29. 15246
  30. 880
  31. 11704
  32. 216
  33. 136
  34. 4158
  35. 420
  36. 24
  37. 3080
  38. 550
  39. 60
  40. 176

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