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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 531 · 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 40 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 6 cm?
  3. 3.A box is 7 cm long, 6 cm wide and 8 cm high. What is its volume (in cubic cm)?
  4. 4.A box is 3 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
  5. 5.A fish tank is 30 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A closed box is 8 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  7. 7.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  8. 8.A box is 5 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
  9. 9.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)?
  10. 10.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 15 cm × 15 cm?
  11. 11.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  13. 13.A closed box is 3 cm long, 3 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  14. 14.A box is 13 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
  15. 15.A box is 10 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
  16. 16.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 25 cm × 20 cm?
  17. 17.A fish tank is 60 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A box is 13 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  19. 19.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.A box is 11 cm long, 11 cm wide and 7 cm high. What is its volume (in cubic cm)?
  21. 21.A fish tank is 110 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A closed box is 9 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  23. 23.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  24. 24.A closed box is 16 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  25. 25.A box is 16 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  26. 26.A box is 18 cm long, 15 cm wide and 10 cm high. What is its volume (in cubic cm)?
  27. 27.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 10 cm?
  28. 28.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 24 cm?
  29. 29.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)?
  30. 30.A pipe (a cylinder) has a radius of 14 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.A closed box is 15 cm long, 7 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  32. 32.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 6 cm?
  33. 33.A box is 10 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
  34. 34.A box is 8 cm long, 9 cm wide and 9 cm high. What is its volume (in cubic cm)?
  35. 35.A fish tank is 90 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A pipe (a cylinder) has a radius of 7 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  37. 37.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 8 cm?
  38. 38.A fish tank is 40 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.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)?
  40. 40.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?

Answer key

  1. 108
  2. 30
  3. 336
  4. 126
  5. 48
  6. 192
  7. 24
  8. 200
  9. 7392
  10. 125
  11. 704
  12. 1000
  13. 42
  14. 2002
  15. 880
  16. 100
  17. 216
  18. 195
  19. 2464
  20. 847
  21. 352
  22. 150
  23. 3375
  24. 888
  25. 320
  26. 2700
  27. 100
  28. 60
  29. 264
  30. 1056
  31. 562
  32. 18
  33. 280
  34. 648
  35. 162
  36. 176
  37. 48
  38. 96
  39. 11704
  40. 150

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