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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 188 · 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 30 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A closed box is 4 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  3. 3.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 20 cm × 30 cm?
  4. 4.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  5. 5.A fish tank is 40 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A box is 8 cm long, 8 cm wide and 11 cm high. What is its volume (in cubic cm)?
  7. 7.A box is 8 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?
  8. 8.A closed box is 4 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  9. 9.A closed box is 7 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  10. 10.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.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)?
  12. 12.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)
  13. 13.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 16 cm × 8 cm?
  14. 14.A box is 11 cm long, 12 cm wide and 10 cm high. What is its volume (in cubic cm)?
  15. 15.A closed box is 12 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  16. 16.A fish tank is 90 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A closed box is 14 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  18. 18.A box is 19 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?
  19. 19.A closed box is 14 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  20. 20.A closed box is 7 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  21. 21.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 12 cm × 18 cm?
  22. 22.A box is 11 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
  23. 23.A pipe (a cylinder) has a radius of 7 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  24. 24.A box is 11 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  25. 25.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)?
  26. 26.A closed box is 16 cm long, 11 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  27. 27.A closed box is 15 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  28. 28.A closed box is 20 cm long, 12 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  29. 29.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  30. 30.A box is 10 cm long, 7 cm wide and 7 cm high. What is its volume (in cubic cm)?
  31. 31.A box is 3 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  32. 32.A closed box is 19 cm long, 9 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  33. 33.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  34. 34.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)?
  35. 35.A closed box is 3 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  36. 36.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 8 cm?
  37. 37.A fish tank is 90 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A fish tank is 90 cm long, 70 cm wide and 70 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 7 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 8 cm?

Answer key

  1. 48
  2. 544
  3. 48
  4. 1014
  5. 200
  6. 704
  7. 792
  8. 276
  9. 100
  10. 308
  11. 264
  12. 147
  13. 48
  14. 1320
  15. 372
  16. 270
  17. 376
  18. 1881
  19. 424
  20. 154
  21. 72
  22. 66
  23. 440
  24. 165
  25. 1056
  26. 514
  27. 798
  28. 928
  29. 729
  30. 490
  31. 12
  32. 958
  33. 384
  34. 880
  35. 80
  36. 120
  37. 180
  38. 441
  39. 1848
  40. 72

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