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Volume and Surface Area Worksheet

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

Answer key

  1. 288
  2. 390
  3. 24
  4. 30
  5. 16632
  6. 840
  7. 158
  8. 2156
  9. 400
  10. 968
  11. 352
  12. 352
  13. 325
  14. 729
  15. 408
  16. 135
  17. 180
  18. 1144
  19. 495
  20. 572
  21. 24
  22. 1408
  23. 406
  24. 48
  25. 20790
  26. 11088
  27. 748
  28. 864
  29. 3375
  30. 660
  31. 216
  32. 18
  33. 60
  34. 13860
  35. 27
  36. 990
  37. 4928
  38. 528
  39. 125
  40. 75

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