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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 372 · 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 6 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
  2. 2.A fish tank is 90 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A closed box is 7 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  4. 4.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)
  5. 5.A closed box is 19 cm long, 9 cm wide and 3 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 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.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)?
  8. 8.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 4 cm?
  9. 9.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)?
  10. 10.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  11. 11.A fish tank is 40 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.A pipe (a cylinder) has a radius of 14 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  13. 13.A fish tank is 60 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 12 cm?
  15. 15.A box is 3 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
  16. 16.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  17. 17.A box is 12 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
  18. 18.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 4 cm?
  19. 19.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  20. 20.A box is 15 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  21. 21.A cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 12 cm × 6 cm?
  24. 24.A closed box is 8 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  25. 25.A closed box is 6 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  26. 26.A box is 10 cm long, 3 cm wide and 9 cm high. What is its volume (in cubic cm)?
  27. 27.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)?
  28. 28.A fish tank is 100 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A box is 5 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  30. 30.A closed box is 10 cm long, 10 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  31. 31.A closed box is 15 cm long, 6 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  32. 32.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  33. 33.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 10 cm?
  34. 34.A fish tank is 30 cm long, 70 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A box is 12 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
  36. 36.A closed box is 5 cm long, 12 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  37. 37.A fish tank is 30 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 8 cm?
  39. 39.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; 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. 180
  2. 486
  3. 262
  4. 240
  5. 510
  6. 3080
  7. 264
  8. 16
  9. 4928
  10. 54
  11. 72
  12. 1408
  13. 162
  14. 60
  15. 84
  16. 343
  17. 1452
  18. 60
  19. 8
  20. 750
  21. 18018
  22. 2772
  23. 32
  24. 304
  25. 184
  26. 270
  27. 1672
  28. 350
  29. 75
  30. 600
  31. 390
  32. 726
  33. 180
  34. 210
  35. 420
  36. 358
  37. 72
  38. 50
  39. 462
  40. 44

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