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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 229 · 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 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)
  2. 2.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 6 cm?
  3. 3.A box is 18 cm long, 7 cm wide and 12 cm high. What is its volume (in cubic cm)?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 10 cm?
  5. 5.A box is 20 cm long, 8 cm wide and 5 cm high. What is its volume (in cubic cm)?
  6. 6.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 18 cm × 15 cm?
  7. 7.A box is 7 cm long, 10 cm wide and 10 cm high. What is its volume (in cubic cm)?
  8. 8.A box is 8 cm long, 4 cm wide and 2 cm high. What is its volume (in cubic cm)?
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 12 cm?
  10. 10.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)?
  11. 11.A box is 5 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
  12. 12.A pipe (a cylinder) has a radius of 4 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  13. 13.A closed box is 14 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  14. 14.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 12 cm?
  15. 15.A box is 10 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
  16. 16.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 12 cm?
  18. 18.A closed box is 19 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  19. 19.A fish tank is 100 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A box is 10 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
  21. 21.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 25 cm × 20 cm?
  22. 22.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  23. 23.A fish tank is 110 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 20 cm?
  25. 25.A fish tank is 50 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 12 cm?
  27. 27.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  28. 28.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)?
  29. 29.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A fish tank is 90 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 10 cm?
  32. 32.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 18 cm × 9 cm?
  33. 33.A fish tank is 120 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 20 cm?
  35. 35.A pipe (a cylinder) has a radius of 13 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  36. 36.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 15 cm?
  37. 37.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 12 cm × 12 cm?
  38. 38.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 18 cm?
  39. 39.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 12 cm × 16 cm?
  40. 40.A box is 19 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?

Answer key

  1. 320
  2. 12
  3. 1512
  4. 12
  5. 800
  6. 60
  7. 700
  8. 64
  9. 108
  10. 264
  11. 150
  12. 352
  13. 544
  14. 120
  15. 300
  16. 1540
  17. 72
  18. 244
  19. 180
  20. 400
  21. 100
  22. 294
  23. 44
  24. 48
  25. 30
  26. 120
  27. 2744
  28. 1056
  29. 24948
  30. 108
  31. 40
  32. 72
  33. 288
  34. 100
  35. 572
  36. 60
  37. 32
  38. 108
  39. 72
  40. 418

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