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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 258 · 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 3 cm. What is its volume (in cubic cm)?
  2. 2.A box is 14 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
  3. 3.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 12 cm?
  4. 4.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A fish tank is 70 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A box is 14 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  7. 7.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 18 cm × 15 cm?
  8. 8.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 10 cm?
  10. 10.A closed box is 16 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  11. 11.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 24 cm?
  13. 13.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)?
  14. 14.A box is 9 cm long, 8 cm wide and 7 cm high. What is its volume (in cubic cm)?
  15. 15.A box is 20 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  16. 16.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A box is 11 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
  18. 18.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  19. 19.A box is 6 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  20. 20.A box is 8 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
  21. 21.A fish tank is 50 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  23. 23.A closed box is 11 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  24. 24.A box is 3 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
  25. 25.A closed box is 16 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  26. 26.A closed box is 19 cm long, 15 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  27. 27.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 25 cm × 25 cm?
  28. 28.A fish tank is 30 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.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)?
  30. 30.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  31. 31.A box is 7 cm long, 8 cm wide and 12 cm high. What is its volume (in cubic cm)?
  32. 32.A box is 16 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
  33. 33.A box is 16 cm long, 10 cm wide and 7 cm high. What is its volume (in cubic cm)?
  34. 34.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A closed box is 17 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  37. 37.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  38. 38.A fish tank is 50 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.A closed box is 20 cm long, 12 cm wide and 10 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 27
  2. 882
  3. 30
  4. 4312
  5. 210
  6. 700
  7. 150
  8. 1056
  9. 16
  10. 838
  11. 352
  12. 36
  13. 1540
  14. 504
  15. 200
  16. 264
  17. 550
  18. 23562
  19. 432
  20. 504
  21. 30
  22. 1331
  23. 448
  24. 351
  25. 888
  26. 978
  27. 75
  28. 36
  29. 748
  30. 2197
  31. 672
  32. 560
  33. 1120
  34. 2156
  35. 3696
  36. 662
  37. 96
  38. 75
  39. 572
  40. 1120

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