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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 130 · 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 8 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
  2. 2.A closed box is 12 cm long, 6 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  3. 3.A closed box is 12 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  4. 4.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  5. 5.A box is 8 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
  6. 6.A closed box is 5 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  7. 7.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  8. 8.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 12 cm?
  10. 10.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)?
  11. 11.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 16 cm × 20 cm?
  12. 12.A closed box is 16 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  13. 13.A closed box is 19 cm long, 14 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  14. 14.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)?
  15. 15.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  16. 16.A box is 17 cm long, 9 cm wide and 5 cm high. What is its volume (in cubic cm)?
  17. 17.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.A closed box is 12 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  19. 19.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A closed box is 8 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  21. 21.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  23. 23.A box is 4 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  24. 24.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  25. 25.A fish tank is 60 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.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)?
  27. 27.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  28. 28.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  29. 29.A closed box is 20 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  30. 30.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A closed box is 13 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  32. 32.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  33. 33.A pipe (a cylinder) has a radius of 14 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 15 cm?
  35. 35.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  36. 36.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)?
  37. 37.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  38. 38.A fish tank is 90 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A fish tank is 50 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A closed box is 18 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 336
  2. 324
  3. 188
  4. 600
  5. 616
  6. 526
  7. 294
  8. 1331
  9. 72
  10. 704
  11. 40
  12. 362
  13. 1060
  14. 1232
  15. 216
  16. 765
  17. 13860
  18. 412
  19. 440
  20. 272
  21. 2002
  22. 352
  23. 64
  24. 1000
  25. 126
  26. 2156
  27. 924
  28. 96
  29. 1048
  30. 1232
  31. 628
  32. 10472
  33. 264
  34. 36
  35. 484
  36. 8624
  37. 1496
  38. 360
  39. 120
  40. 444

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