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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 276 · 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 pipe (a cylinder) has a radius of 7 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.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)?
  3. 3.A fish tank is 50 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A box is 3 cm long, 9 cm wide and 4 cm high. What is its volume (in cubic cm)?
  5. 5.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 10 cm?
  6. 6.A box is 13 cm long, 13 cm wide and 3 cm high. What is its volume (in cubic cm)?
  7. 7.A box is 8 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
  8. 8.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 12 cm × 8 cm?
  9. 9.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)?
  10. 10.A box is 10 cm long, 11 cm wide and 12 cm high. What is its volume (in cubic cm)?
  11. 11.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.A box is 4 cm long, 8 cm wide and 2 cm high. What is its volume (in cubic cm)?
  13. 13.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)?
  14. 14.A box is 14 cm long, 4 cm wide and 2 cm high. What is its volume (in cubic cm)?
  15. 15.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A box is 5 cm long, 8 cm wide and 11 cm high. What is its volume (in cubic cm)?
  17. 17.A box is 18 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
  18. 18.A closed box is 4 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  19. 19.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 10 cm × 6 cm?
  20. 20.A box is 4 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  21. 21.A fish tank is 60 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  23. 23.A closed box is 16 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  24. 24.A cylinder has a radius of 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  25. 25.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 4 cm?
  26. 26.A closed box is 17 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  27. 27.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  28. 28.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 6 cm?
  29. 29.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 20 cm?
  30. 30.A closed box is 4 cm long, 13 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  31. 31.A box is 9 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
  32. 32.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  33. 33.A fish tank is 90 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 8 cm?
  35. 35.A fish tank is 60 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.A closed box is 18 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  38. 38.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.A fish tank is 80 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A box is 5 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?

Answer key

  1. 88
  2. 11088
  3. 60
  4. 108
  5. 24
  6. 507
  7. 720
  8. 96
  9. 6776
  10. 1320
  11. 880
  12. 64
  13. 4158
  14. 112
  15. 2002
  16. 440
  17. 450
  18. 144
  19. 75
  20. 40
  21. 90
  22. 150
  23. 822
  24. 2464
  25. 24
  26. 382
  27. 3375
  28. 48
  29. 48
  30. 444
  31. 378
  32. 8
  33. 729
  34. 72
  35. 60
  36. 2156
  37. 686
  38. 11704
  39. 320
  40. 80

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