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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 95 · 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.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 6 cm?
  2. 2.A pipe (a cylinder) has a radius of 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  3. 3.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A box is 9 cm long, 10 cm wide and 7 cm high. What is its volume (in cubic cm)?
  5. 5.A box is 18 cm long, 13 cm wide and 3 cm high. What is its volume (in cubic cm)?
  6. 6.A box is 3 cm long, 5 cm wide and 11 cm high. What is its volume (in cubic cm)?
  7. 7.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 9 cm × 12 cm?
  9. 9.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)?
  10. 10.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 9 cm?
  11. 11.A fish tank is 60 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.A closed box is 15 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  13. 13.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)?
  14. 14.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  15. 15.A box is 11 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
  16. 16.A fish tank is 120 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A box is 13 cm long, 15 cm wide and 8 cm high. What is its volume (in cubic cm)?
  18. 18.A closed box is 17 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  19. 19.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  21. 21.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)?
  22. 22.A closed box is 16 cm long, 10 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  23. 23.A fish tank is 80 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A box is 7 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
  25. 25.A box is 4 cm long, 15 cm wide and 8 cm high. What is its volume (in cubic cm)?
  26. 26.A fish tank is 70 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A closed box is 11 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  28. 28.A cylinder has a radius of 7 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.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)?
  30. 30.A fish tank is 60 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 18 cm long, 7 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  32. 32.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  33. 33.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
  34. 34.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  35. 35.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  36. 36.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  37. 37.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 20 cm?
  38. 38.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?

Answer key

  1. 30
  2. 792
  3. 748
  4. 630
  5. 702
  6. 165
  7. 308
  8. 36
  9. 5544
  10. 24
  11. 324
  12. 576
  13. 352
  14. 27
  15. 1287
  16. 72
  17. 1560
  18. 262
  19. 44
  20. 2464
  21. 132
  22. 528
  23. 48
  24. 336
  25. 480
  26. 126
  27. 398
  28. 1078
  29. 3080
  30. 180
  31. 652
  32. 22176
  33. 27
  34. 864
  35. 2744
  36. 294
  37. 24
  38. 3080
  39. 1584
  40. 600

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