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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 345 · 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, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?
  2. 2.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  3. 3.A box is 6 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  4. 4.A box is 7 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
  5. 5.A pipe (a cylinder) has a radius of 8 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A cylinder has a radius of 21 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.A pipe (a cylinder) has a radius of 13 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.A box is 6 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
  9. 9.A cylinder has a radius of 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A fish tank is 100 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 16 cm?
  12. 12.A box is 6 cm long, 15 cm wide and 5 cm high. What is its volume (in cubic cm)?
  13. 13.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 4 cm?
  16. 16.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 9 cm × 18 cm?
  17. 17.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A box is 20 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
  19. 19.A closed box is 18 cm long, 11 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  20. 20.A fish tank is 30 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  22. 22.A closed box is 6 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  23. 23.A box is 18 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
  24. 24.A box is 20 cm long, 12 cm wide and 8 cm high. What is its volume (in cubic cm)?
  25. 25.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  26. 26.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  27. 27.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  28. 28.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 20 cm?
  30. 30.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)?
  31. 31.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 6 cm?
  32. 32.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  33. 33.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)?
  34. 34.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)?
  35. 35.A box is 19 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
  36. 36.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  37. 37.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)?
  38. 38.A closed box is 17 cm long, 9 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  39. 39.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.A box is 9 cm long, 12 cm wide and 10 cm high. What is its volume (in cubic cm)?

Answer key

  1. 1200
  2. 216
  3. 60
  4. 168
  5. 704
  6. 26334
  7. 1144
  8. 240
  9. 9702
  10. 400
  11. 48
  12. 450
  13. 1232
  14. 616
  15. 32
  16. 54
  17. 264
  18. 300
  19. 512
  20. 108
  21. 96
  22. 208
  23. 216
  24. 1920
  25. 704
  26. 726
  27. 150
  28. 88
  29. 72
  30. 2772
  31. 108
  32. 1014
  33. 1584
  34. 6160
  35. 2299
  36. 1320
  37. 220
  38. 878
  39. 2772
  40. 1080

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