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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 534 · 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 box is 20 cm long, 6 cm wide and 4 cm high. What is its volume (in cubic cm)?
  2. 2.A closed box is 13 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  3. 3.A fish tank is 110 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A box is 14 cm long, 5 cm wide and 7 cm high. What is its volume (in cubic cm)?
  5. 5.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 12 cm?
  6. 6.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.A cylinder has a radius of 7 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.A fish tank is 30 cm long, 80 cm wide and 80 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 cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A fish tank is 40 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 18 cm × 6 cm?
  13. 13.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 20 cm?
  14. 14.A fish tank is 80 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  16. 16.A fish tank is 50 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A fish tank is 70 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.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)?
  19. 19.A closed box is 19 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  20. 20.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)?
  21. 21.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)?
  22. 22.A closed box is 10 cm long, 11 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  23. 23.A fish tank is 40 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  25. 25.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  26. 26.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  27. 27.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  28. 28.A fish tank is 90 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.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)?
  30. 30.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A fish tank is 30 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  36. 36.A box is 9 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  37. 37.A closed box is 4 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  38. 38.A closed box is 19 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  39. 39.A fish tank is 30 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.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)?

Answer key

  1. 480
  2. 702
  3. 198
  4. 490
  5. 48
  6. 88
  7. 1078
  8. 192
  9. 15246
  10. 1232
  11. 96
  12. 48
  13. 80
  14. 560
  15. 836
  16. 180
  17. 28
  18. 264
  19. 786
  20. 5544
  21. 4928
  22. 640
  23. 80
  24. 22176
  25. 352
  26. 2197
  27. 216
  28. 72
  29. 792
  30. 4158
  31. 528
  32. 96
  33. 264
  34. 1848
  35. 216
  36. 180
  37. 88
  38. 628
  39. 180
  40. 484

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