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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 351 · 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 closed box is 10 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  2. 2.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A box is 11 cm long, 2 cm wide and 10 cm high. What is its volume (in cubic cm)?
  4. 4.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  5. 5.A closed box is 20 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  6. 6.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  7. 7.A box is 9 cm long, 10 cm wide and 10 cm high. What is its volume (in cubic cm)?
  8. 8.A fish tank is 80 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  10. 10.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 6 cm?
  11. 11.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 12 cm × 4 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 cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  15. 15.A cylinder has a radius of 21 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A closed box is 8 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  17. 17.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)?
  18. 18.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 12 cm?
  19. 19.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A box is 4 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
  21. 21.A closed box is 5 cm long, 4 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  22. 22.A box is 10 cm long, 9 cm wide and 9 cm high. What is its volume (in cubic cm)?
  23. 23.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)?
  24. 24.A fish tank is 90 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.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)?
  26. 26.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  27. 27.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)?
  28. 28.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 10 cm?
  29. 29.A closed box is 19 cm long, 10 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  30. 30.A closed box is 17 cm long, 3 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  31. 31.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  32. 32.A box is 16 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
  33. 33.A box is 7 cm long, 13 cm wide and 12 cm high. What is its volume (in cubic cm)?
  34. 34.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  35. 35.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  36. 36.A box is 6 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?
  37. 37.A box is 10 cm long, 12 cm wide and 2 cm high. What is its volume (in cubic cm)?
  38. 38.A box is 16 cm long, 14 cm wide and 10 cm high. What is its volume (in cubic cm)?
  39. 39.A closed box is 7 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  40. 40.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 232
  2. 8624
  3. 220
  4. 384
  5. 1120
  6. 216
  7. 900
  8. 48
  9. 2744
  10. 12
  11. 88
  12. 60
  13. 1232
  14. 600
  15. 15246
  16. 340
  17. 1672
  18. 48
  19. 880
  20. 24
  21. 130
  22. 810
  23. 4312
  24. 162
  25. 2772
  26. 150
  27. 572
  28. 100
  29. 902
  30. 582
  31. 486
  32. 576
  33. 1092
  34. 24
  35. 396
  36. 312
  37. 240
  38. 2240
  39. 518
  40. 704

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