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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 527 · 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 60 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.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)?
  3. 3.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 12 cm?
  4. 4.A pipe (a cylinder) has a radius of 6 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 2 cm fit exactly in a box that is 12 cm × 8 cm × 4 cm?
  6. 6.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)?
  7. 7.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  8. 8.A closed box is 3 cm long, 15 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  9. 9.A closed box is 3 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  10. 10.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A fish tank is 90 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A fish tank is 50 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.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)?
  16. 16.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A box is 14 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
  18. 18.A closed box is 15 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  19. 19.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  20. 20.A box is 16 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  21. 21.A fish tank is 100 cm long, 60 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  23. 23.A fish tank is 60 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A closed box is 8 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  25. 25.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 30 cm?
  26. 26.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)?
  27. 27.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.A closed box is 16 cm long, 6 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  29. 29.A box is 7 cm long, 8 cm wide and 2 cm high. What is its volume (in cubic cm)?
  30. 30.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)?
  31. 31.A fish tank is 70 cm long, 50 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A box is 12 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  33. 33.A closed box is 14 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  34. 34.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  35. 35.A fish tank is 120 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A closed box is 20 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  37. 37.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.A fish tank is 60 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 108
  2. 1496
  3. 30
  4. 264
  5. 48
  6. 12474
  7. 729
  8. 306
  9. 80
  10. 1056
  11. 23562
  12. 162
  13. 100
  14. 880
  15. 2926
  16. 88
  17. 84
  18. 462
  19. 8
  20. 240
  21. 540
  22. 96
  23. 192
  24. 392
  25. 36
  26. 2002
  27. 396
  28. 720
  29. 112
  30. 704
  31. 210
  32. 360
  33. 312
  34. 486
  35. 600
  36. 592
  37. 5544
  38. 336
  39. 264
  40. 1694

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