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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 72 · 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 90 cm long, 30 cm wide and 20 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 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  3. 3.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  4. 4.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)?
  5. 5.A closed box is 20 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  6. 6.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  7. 7.A box is 7 cm long, 9 cm wide and 12 cm high. What is its volume (in cubic cm)?
  8. 8.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 12 cm?
  10. 10.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.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)?
  12. 12.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)?
  13. 13.A box is 15 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
  14. 14.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)?
  15. 15.A fish tank is 110 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A closed box is 6 cm long, 4 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  17. 17.A closed box is 12 cm long, 11 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  18. 18.A fish tank is 80 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  20. 20.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)?
  21. 21.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 10 cm?
  22. 22.A box is 19 cm long, 4 cm wide and 2 cm high. What is its volume (in cubic cm)?
  23. 23.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)?
  24. 24.A cylinder has a radius of 21 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  25. 25.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 12 cm?
  26. 26.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  27. 27.A box is 4 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  28. 28.A box is 20 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
  29. 29.A closed box is 14 cm long, 9 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  30. 30.A box is 19 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  31. 31.A pipe (a cylinder) has a radius of 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A box is 13 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  33. 33.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A closed box is 4 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  35. 35.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  36. 36.A fish tank is 80 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A fish tank is 110 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.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)?
  39. 39.A fish tank is 50 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A fish tank is 70 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 54
  2. 44
  3. 1331
  4. 2926
  5. 608
  6. 384
  7. 756
  8. 1000
  9. 48
  10. 132
  11. 11088
  12. 264
  13. 90
  14. 2772
  15. 660
  16. 188
  17. 724
  18. 144
  19. 343
  20. 836
  21. 30
  22. 152
  23. 1056
  24. 26334
  25. 48
  26. 132
  27. 288
  28. 1680
  29. 758
  30. 342
  31. 880
  32. 195
  33. 616
  34. 136
  35. 600
  36. 120
  37. 330
  38. 396
  39. 60
  40. 147

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