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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 155 · 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 cube has an edge of 10 cm. What is its volume (in cubic cm)?
  2. 2.A box is 4 cm long, 10 cm wide and 8 cm high. What is its volume (in cubic cm)?
  3. 3.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)?
  4. 4.A closed box is 13 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  5. 5.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A closed box is 13 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  7. 7.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 16 cm × 12 cm?
  8. 8.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 9 cm?
  9. 9.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 10 cm × 20 cm?
  10. 10.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)?
  11. 11.A box is 9 cm long, 9 cm wide and 12 cm high. What is its volume (in cubic cm)?
  12. 12.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  13. 13.A closed box is 15 cm long, 8 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  14. 14.A closed box is 14 cm long, 14 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  15. 15.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  16. 16.A closed box is 16 cm long, 4 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  17. 17.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 12 cm?
  18. 18.A box is 18 cm long, 6 cm wide and 12 cm high. What is its volume (in cubic cm)?
  19. 19.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 12 cm?
  20. 20.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  21. 21.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)?
  22. 22.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A closed box is 15 cm long, 10 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  24. 24.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  25. 25.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)?
  26. 26.A box is 14 cm long, 9 cm wide and 11 cm high. What is its volume (in cubic cm)?
  27. 27.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.A fish tank is 90 cm long, 40 cm wide and 70 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 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A fish tank is 100 cm long, 80 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 15 cm × 15 cm?
  32. 32.A fish tank is 30 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 20 cm × 10 cm?
  35. 35.A box is 15 cm long, 12 cm wide and 11 cm high. What is its volume (in cubic cm)?
  36. 36.A closed box is 9 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  37. 37.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  38. 38.A box is 5 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  39. 39.A box is 3 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
  40. 40.A box is 5 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?

Answer key

  1. 1000
  2. 320
  3. 16632
  4. 142
  5. 352
  6. 410
  7. 36
  8. 18
  9. 40
  10. 1078
  11. 972
  12. 2744
  13. 654
  14. 1008
  15. 125
  16. 328
  17. 72
  18. 1296
  19. 72
  20. 1728
  21. 2772
  22. 9240
  23. 600
  24. 27
  25. 132
  26. 1386
  27. 1144
  28. 252
  29. 8316
  30. 800
  31. 27
  32. 168
  33. 132
  34. 16
  35. 1980
  36. 280
  37. 726
  38. 220
  39. 42
  40. 90

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