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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 207 · 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 6 cm × 9 cm × 6 cm?
  2. 2.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)?
  3. 3.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 18 cm?
  5. 5.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 24 cm?
  7. 7.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 18 cm?
  8. 8.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.A fish tank is 120 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A box is 3 cm long, 9 cm wide and 11 cm high. What is its volume (in cubic 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 9 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  13. 13.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  15. 15.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)?
  16. 16.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  17. 17.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 24 cm?
  18. 18.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  19. 19.A closed box is 4 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  20. 20.A box is 19 cm long, 12 cm wide and 10 cm high. What is its volume (in cubic cm)?
  21. 21.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  22. 22.A box is 3 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
  23. 23.A closed box is 5 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  24. 24.A box is 15 cm long, 13 cm wide and 5 cm high. What is its volume (in cubic cm)?
  25. 25.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
  26. 26.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)?
  27. 27.A closed box is 14 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  28. 28.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  29. 29.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 15 cm × 18 cm?
  30. 30.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)?
  31. 31.A box is 14 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
  32. 32.A fish tank is 100 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
  34. 34.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)?
  35. 35.A pipe (a cylinder) has a radius of 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  36. 36.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  37. 37.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 8 cm?
  38. 38.A box is 15 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
  39. 39.A fish tank is 70 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A box is 16 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?

Answer key

  1. 12
  2. 968
  3. 308
  4. 90
  5. 1540
  6. 108
  7. 108
  8. 616
  9. 720
  10. 297
  11. 132
  12. 342
  13. 16632
  14. 1331
  15. 6160
  16. 96
  17. 36
  18. 216
  19. 150
  20. 2280
  21. 486
  22. 18
  23. 596
  24. 975
  25. 24
  26. 1672
  27. 742
  28. 24
  29. 150
  30. 1848
  31. 168
  32. 810
  33. 8
  34. 2464
  35. 484
  36. 220
  37. 24
  38. 1050
  39. 315
  40. 704

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