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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 149 · 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 30 cm long, 90 cm wide and 40 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 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A closed box is 5 cm long, 14 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  4. 4.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)?
  5. 5.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 30 cm × 10 cm?
  6. 6.A fish tank is 80 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.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)?
  8. 8.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.A closed box is 18 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  10. 10.A closed box is 5 cm long, 8 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  11. 11.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  13. 13.A box is 8 cm long, 14 cm wide and 10 cm high. What is its volume (in cubic cm)?
  14. 14.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  15. 15.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)?
  16. 16.A fish tank is 80 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A box is 7 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  18. 18.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)
  19. 19.A box is 3 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
  20. 20.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 24 cm × 20 cm?
  21. 21.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 24 cm?
  22. 22.A box is 19 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  23. 23.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  24. 24.A box is 12 cm long, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?
  25. 25.A closed box is 4 cm long, 11 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  26. 26.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  27. 27.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  28. 28.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  29. 29.A box is 4 cm long, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?
  30. 30.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.A box is 16 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
  32. 32.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 24 cm?
  33. 33.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 10 cm?
  34. 34.A box is 4 cm long, 13 cm wide and 5 cm high. What is its volume (in cubic cm)?
  35. 35.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)?
  36. 36.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  37. 37.A closed box is 7 cm long, 6 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  38. 38.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)?
  39. 39.A box is 8 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
  40. 40.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 108
  2. 2926
  3. 292
  4. 484
  5. 36
  6. 144
  7. 4928
  8. 1672
  9. 552
  10. 288
  11. 2464
  12. 8
  13. 1120
  14. 216
  15. 2618
  16. 240
  17. 70
  18. 126
  19. 135
  20. 150
  21. 120
  22. 1368
  23. 1386
  24. 720
  25. 148
  26. 216
  27. 726
  28. 486
  29. 240
  30. 528
  31. 1408
  32. 144
  33. 45
  34. 260
  35. 2464
  36. 125
  37. 370
  38. 9240
  39. 168
  40. 44

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