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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 395 · 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 fish tank is 120 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A cylinder has a radius of 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 25 cm × 20 cm?
  6. 6.A box is 19 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  7. 7.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 6 cm?
  10. 10.A box is 8 cm long, 9 cm wide and 4 cm high. What is its volume (in cubic cm)?
  11. 11.A box is 20 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  12. 12.A fish tank is 60 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A closed box is 8 cm long, 11 cm wide and 9 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 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 25 cm × 10 cm?
  16. 16.A box is 20 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
  17. 17.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  18. 18.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)?
  19. 19.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
  21. 21.A box is 9 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
  22. 22.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A closed box is 6 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  24. 24.A box is 9 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
  25. 25.A box is 5 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
  26. 26.A closed box is 10 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  27. 27.A box is 14 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
  28. 28.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 10 cm?
  30. 30.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A box is 7 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
  32. 32.A fish tank is 30 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.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)?
  34. 34.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 12 cm × 6 cm?
  36. 36.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  38. 38.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)?
  39. 39.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.A pipe (a cylinder) has a radius of 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 96
  2. 1540
  3. 2464
  4. 9240
  5. 60
  6. 1368
  7. 528
  8. 729
  9. 24
  10. 288
  11. 160
  12. 480
  13. 518
  14. 11704
  15. 20
  16. 1800
  17. 54
  18. 2002
  19. 12474
  20. 24
  21. 270
  22. 19404
  23. 90
  24. 324
  25. 350
  26. 320
  27. 504
  28. 176
  29. 60
  30. 3696
  31. 42
  32. 144
  33. 1232
  34. 125
  35. 24
  36. 2618
  37. 3375
  38. 220
  39. 308
  40. 792

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