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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 330 · 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 18 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
  2. 2.A closed box is 16 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  3. 3.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  4. 4.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)?
  5. 5.A box is 6 cm long, 7 cm wide and 7 cm high. What is its volume (in cubic cm)?
  6. 6.A closed box is 5 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  7. 7.A closed box is 5 cm long, 11 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  8. 8.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  9. 9.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 12 cm × 12 cm?
  10. 10.A box is 3 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  11. 11.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 6 cm?
  12. 12.A box is 7 cm long, 6 cm wide and 12 cm high. What is its volume (in cubic cm)?
  13. 13.A fish tank is 80 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 12 cm?
  15. 15.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  16. 16.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 8 cm?
  17. 17.A box is 6 cm long, 14 cm wide and 4 cm high. What is its volume (in cubic cm)?
  18. 18.A closed box is 5 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  19. 19.A fish tank is 60 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.A box is 4 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  22. 22.A cylinder has a radius of 21 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 16 cm?
  24. 24.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 10 cm × 15 cm?
  25. 25.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  27. 27.A box is 6 cm long, 8 cm wide and 11 cm high. What is its volume (in cubic cm)?
  28. 28.A box is 13 cm long, 13 cm wide and 11 cm high. What is its volume (in cubic cm)?
  29. 29.A box is 17 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  30. 30.A fish tank is 30 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A closed box is 12 cm long, 12 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  32. 32.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  33. 33.A box is 7 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  34. 34.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)?
  35. 35.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  36. 36.A closed box is 16 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  37. 37.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.A box is 5 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
  39. 39.A closed box is 20 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  40. 40.A box is 6 cm long, 12 cm wide and 5 cm high. What is its volume (in cubic cm)?

Answer key

  1. 540
  2. 280
  3. 125
  4. 264
  5. 294
  6. 230
  7. 334
  8. 24
  9. 48
  10. 150
  11. 36
  12. 504
  13. 112
  14. 18
  15. 1728
  16. 80
  17. 336
  18. 236
  19. 72
  20. 220
  21. 32
  22. 20790
  23. 24
  24. 30
  25. 7392
  26. 1350
  27. 528
  28. 1859
  29. 306
  30. 144
  31. 672
  32. 8
  33. 210
  34. 23562
  35. 96
  36. 608
  37. 462
  38. 385
  39. 592
  40. 360

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