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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 111 · 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 70 cm long, 20 cm wide and 70 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 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  3. 3.A closed box is 4 cm long, 3 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  4. 4.A fish tank is 90 cm long, 70 cm wide and 60 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 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A fish tank is 90 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  8. 8.A box is 13 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
  9. 9.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 15 cm?
  10. 10.A box is 3 cm long, 7 cm wide and 3 cm high. What is its volume (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 2 cm fit exactly in a box that is 8 cm × 6 cm × 6 cm?
  13. 13.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 25 cm?
  14. 14.A closed box is 13 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  15. 15.A fish tank is 110 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A fish tank is 40 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A box is 19 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  18. 18.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)?
  19. 19.A closed box is 13 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  20. 20.A fish tank is 70 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A box is 10 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  22. 22.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  23. 23.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  24. 24.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  25. 25.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  26. 26.A fish tank is 70 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A closed box is 10 cm long, 8 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  28. 28.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.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)?
  30. 30.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)?
  31. 31.A closed box is 11 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  32. 32.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  33. 33.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 4 cm?
  34. 34.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)?
  35. 35.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 8 cm?
  36. 36.A box is 19 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  37. 37.A fish tank is 30 cm long, 60 cm wide and 70 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 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  39. 39.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.A box is 4 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?

Answer key

  1. 98
  2. 1672
  3. 52
  4. 378
  5. 440
  6. 90
  7. 27
  8. 1170
  9. 90
  10. 63
  11. 6776
  12. 36
  13. 30
  14. 142
  15. 154
  16. 288
  17. 570
  18. 3080
  19. 444
  20. 84
  21. 90
  22. 2197
  23. 216
  24. 2744
  25. 729
  26. 189
  27. 556
  28. 528
  29. 396
  30. 44
  31. 252
  32. 9240
  33. 40
  34. 484
  35. 12
  36. 190
  37. 126
  38. 792
  39. 1232
  40. 360

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