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Volume and Surface Area Worksheet

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

Answer key

  1. 30
  2. 88
  3. 45
  4. 968
  5. 178
  6. 1694
  7. 11088
  8. 2744
  9. 880
  10. 352
  11. 756
  12. 1500
  13. 440
  14. 216
  15. 1000
  16. 60
  17. 550
  18. 396
  19. 80
  20. 226
  21. 300
  22. 378
  23. 330
  24. 1056
  25. 2964
  26. 96
  27. 2464
  28. 112
  29. 8008
  30. 760
  31. 720
  32. 240
  33. 960
  34. 6930
  35. 200
  36. 192
  37. 3080
  38. 24
  39. 8316
  40. 48

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