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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 127 · 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 80 cm long, 50 cm wide and 100 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 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  4. 4.A fish tank is 100 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 24 cm?
  6. 6.A fish tank is 30 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A fish tank is 80 cm long, 80 cm wide and 40 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 3 cm. What is its total surface area (in sq cm)?
  9. 9.A closed box is 18 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  10. 10.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  11. 11.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  12. 12.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  13. 13.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 10 cm?
  14. 14.A box is 9 cm long, 11 cm wide and 3 cm high. What is its volume (in cubic cm)?
  15. 15.A closed box is 13 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  16. 16.A fish tank is 60 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A box is 9 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  19. 19.A fish tank is 40 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A closed box is 15 cm long, 12 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  21. 21.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.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)
  23. 23.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  24. 24.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)?
  25. 25.A box is 15 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  26. 26.A box is 16 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
  27. 27.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 12 cm?
  28. 28.A fish tank is 100 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A box is 8 cm long, 13 cm wide and 8 cm high. What is its volume (in cubic cm)?
  30. 30.A fish tank is 40 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A closed box is 14 cm long, 3 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  32. 32.A fish tank is 40 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A closed box is 9 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  34. 34.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  35. 35.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  36. 36.A fish tank is 40 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.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)?
  38. 38.A box is 4 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  39. 39.A box is 16 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  40. 40.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)?

Answer key

  1. 400
  2. 8316
  3. 8
  4. 600
  5. 120
  6. 120
  7. 256
  8. 54
  9. 918
  10. 3375
  11. 27
  12. 1176
  13. 30
  14. 297
  15. 512
  16. 210
  17. 352
  18. 1512
  19. 324
  20. 900
  21. 6776
  22. 70
  23. 64
  24. 23562
  25. 240
  26. 480
  27. 60
  28. 240
  29. 832
  30. 120
  31. 288
  32. 288
  33. 306
  34. 150
  35. 96
  36. 108
  37. 1672
  38. 80
  39. 2688
  40. 1848

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