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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 501 · 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 3 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?
  2. 2.A box is 7 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
  3. 3.A box is 19 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
  4. 4.A fish tank is 50 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.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)?
  6. 6.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)?
  7. 7.A box is 7 cm long, 5 cm wide and 9 cm high. What is its volume (in cubic cm)?
  8. 8.A pipe (a cylinder) has a radius of 7 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 24 cm × 12 cm?
  10. 10.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)?
  11. 11.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  12. 12.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)?
  13. 13.A closed box is 6 cm long, 14 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  14. 14.A box is 16 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  15. 15.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  16. 16.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  17. 17.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 4 cm?
  18. 18.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  19. 19.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)?
  20. 20.A cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  21. 21.A pipe (a cylinder) has a radius of 7 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  23. 23.A box is 4 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  24. 24.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 24 cm × 12 cm?
  25. 25.A fish tank is 110 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A box is 10 cm long, 9 cm wide and 6 cm high. What is its volume (in cubic cm)?
  27. 27.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 30 cm?
  28. 28.A closed box is 14 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  29. 29.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)?
  30. 30.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 15 cm?
  31. 31.A closed box is 4 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  32. 32.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 8 cm × 8 cm?
  33. 33.A cylinder has a radius of 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A box is 18 cm long, 8 cm wide and 5 cm high. What is its volume (in cubic cm)?
  35. 35.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  36. 36.A box is 16 cm long, 13 cm wide and 7 cm high. What is its volume (in cubic cm)?
  37. 37.A fish tank is 70 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A closed box is 13 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  39. 39.A cylinder has a radius of 21 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.A closed box is 19 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 84
  2. 280
  3. 1596
  4. 80
  5. 616
  6. 6160
  7. 315
  8. 660
  9. 36
  10. 220
  11. 512
  12. 352
  13. 608
  14. 256
  15. 216
  16. 125
  17. 20
  18. 1331
  19. 968
  20. 18018
  21. 880
  22. 1000
  23. 16
  24. 90
  25. 264
  26. 540
  27. 72
  28. 444
  29. 1144
  30. 36
  31. 202
  32. 20
  33. 11088
  34. 720
  35. 2197
  36. 1456
  37. 140
  38. 814
  39. 6930
  40. 598

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