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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 510 · 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 box is 20 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
  2. 2.A closed box is 8 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  3. 3.A box is 19 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  4. 4.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  5. 5.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 6 cm?
  6. 6.A pipe (a cylinder) has a radius of 12 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.A box is 19 cm long, 7 cm wide and 3 cm high. What is its volume (in cubic cm)?
  8. 8.A box is 17 cm long, 15 cm wide and 11 cm high. What is its volume (in cubic cm)?
  9. 9.A box is 11 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  10. 10.A pipe (a cylinder) has a radius of 7 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A closed box is 5 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  12. 12.A fish tank is 80 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A box is 8 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  14. 14.A closed box is 11 cm long, 14 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  15. 15.A closed box is 8 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  16. 16.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)?
  17. 17.A fish tank is 60 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A box is 16 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  19. 19.A box is 18 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
  20. 20.A closed box is 20 cm long, 3 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  21. 21.A box is 6 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
  22. 22.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A closed box is 6 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  24. 24.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  25. 25.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 4 cm?
  26. 26.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)?
  27. 27.A fish tank is 40 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  30. 30.A fish tank is 90 cm long, 100 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A box is 9 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
  32. 32.A closed box is 3 cm long, 10 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  33. 33.A box is 11 cm long, 10 cm wide and 8 cm high. What is its volume (in cubic cm)?
  34. 34.A cylinder has a radius of 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 12 cm?
  36. 36.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
  37. 37.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)?
  38. 38.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)?
  39. 39.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 9 cm?
  40. 40.A fish tank is 80 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 240
  2. 114
  3. 342
  4. 1000
  5. 36
  6. 528
  7. 399
  8. 2805
  9. 550
  10. 440
  11. 190
  12. 240
  13. 80
  14. 658
  15. 340
  16. 2772
  17. 216
  18. 160
  19. 1620
  20. 212
  21. 144
  22. 1232
  23. 136
  24. 54
  25. 36
  26. 5544
  27. 320
  28. 836
  29. 1728
  30. 810
  31. 972
  32. 294
  33. 880
  34. 2464
  35. 60
  36. 27
  37. 462
  38. 880
  39. 72
  40. 160

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