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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 233 · 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 3 cm long, 14 cm wide and 7 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 20 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
  4. 4.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)?
  5. 5.A box is 15 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  6. 6.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  7. 7.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  8. 8.A fish tank is 40 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.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)?
  10. 10.A box is 20 cm long, 12 cm wide and 7 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 12 cm × 10 cm × 4 cm?
  12. 12.A box is 18 cm long, 12 cm wide and 8 cm high. What is its volume (in cubic cm)?
  13. 13.A box is 8 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
  14. 14.A box is 16 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  15. 15.A box is 15 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  16. 16.A box is 6 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
  17. 17.A closed box is 12 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  18. 18.A box is 3 cm long, 13 cm wide and 12 cm high. What is its volume (in cubic cm)?
  19. 19.A closed box is 20 cm long, 6 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  20. 20.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 12 cm?
  21. 21.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  22. 22.A fish tank is 30 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A box is 15 cm long, 7 cm wide and 8 cm high. What is its volume (in cubic cm)?
  24. 24.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.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)?
  26. 26.A box is 3 cm long, 6 cm wide and 9 cm high. What is its volume (in cubic cm)?
  27. 27.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  28. 28.A fish tank is 70 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  30. 30.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 30 cm × 30 cm?
  31. 31.A cylinder has a radius of 21 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  32. 32.A closed box is 20 cm long, 9 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  33. 33.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  34. 34.A fish tank is 50 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A fish tank is 60 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  37. 37.A box is 8 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  38. 38.A closed box is 7 cm long, 5 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  39. 39.A cylinder has a radius of 7 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 8 cm?

Answer key

  1. 322
  2. 8624
  3. 840
  4. 1144
  5. 2520
  6. 729
  7. 512
  8. 240
  9. 15246
  10. 1680
  11. 60
  12. 1728
  13. 176
  14. 64
  15. 1080
  16. 72
  17. 384
  18. 468
  19. 708
  20. 18
  21. 125
  22. 120
  23. 840
  24. 396
  25. 484
  26. 162
  27. 2744
  28. 105
  29. 24
  30. 144
  31. 6930
  32. 1056
  33. 864
  34. 360
  35. 360
  36. 216
  37. 64
  38. 142
  39. 2926
  40. 48

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