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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 393 · 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 120 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A fish tank is 50 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A fish tank is 120 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A fish tank is 50 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.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)?
  6. 6.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 12 cm?
  7. 7.A fish tank is 110 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 10 cm?
  9. 9.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  10. 10.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 16 cm?
  13. 13.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A fish tank is 100 cm long, 50 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A box is 20 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
  16. 16.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 20 cm?
  17. 17.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.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)?
  19. 19.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  20. 20.A fish tank is 120 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A cylinder has a radius of 14 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A closed box is 20 cm long, 11 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  23. 23.A fish tank is 80 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A box is 7 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
  25. 25.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)?
  26. 26.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 8 cm?
  27. 27.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 8 cm?
  28. 28.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  29. 29.A closed box is 9 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  30. 30.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  31. 31.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  33. 33.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.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)?
  35. 35.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)?
  36. 36.A box is 11 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  37. 37.A box is 20 cm long, 4 cm wide and 9 cm high. What is its volume (in 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 closed box is 7 cm long, 6 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  40. 40.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 20 cm × 20 cm?

Answer key

  1. 144
  2. 100
  3. 504
  4. 140
  5. 264
  6. 60
  7. 165
  8. 30
  9. 1350
  10. 19404
  11. 6776
  12. 48
  13. 4312
  14. 250
  15. 540
  16. 45
  17. 7392
  18. 88
  19. 125
  20. 480
  21. 11088
  22. 874
  23. 112
  24. 189
  25. 1694
  26. 24
  27. 24
  28. 294
  29. 366
  30. 864
  31. 1584
  32. 96
  33. 396
  34. 968
  35. 44
  36. 242
  37. 720
  38. 50
  39. 370
  40. 96

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