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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 235 · 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 cube has an edge of 7 cm. What is its volume (in cubic cm)?
  2. 2.A fish tank is 50 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  4. 4.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A fish tank is 120 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  7. 7.A box is 18 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
  8. 8.A fish tank is 80 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A pipe (a cylinder) has a radius of 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  12. 12.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  13. 13.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)?
  14. 14.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  15. 15.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  16. 16.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.A pipe (a cylinder) has a radius of 7 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  19. 19.A box is 8 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
  20. 20.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 12 cm?
  21. 21.A closed box is 3 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  22. 22.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  23. 23.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 25 cm × 10 cm?
  24. 24.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)?
  25. 25.A fish tank is 90 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A closed box is 14 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  27. 27.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)?
  28. 28.A closed box is 16 cm long, 13 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  29. 29.A fish tank is 80 cm long, 60 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  32. 32.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 15 cm × 6 cm?
  33. 33.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  34. 34.A fish tank is 90 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  36. 36.A closed box is 17 cm long, 11 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  37. 37.A fish tank is 70 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A fish tank is 50 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  40. 40.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 343
  2. 280
  3. 486
  4. 23562
  5. 252
  6. 1000
  7. 1584
  8. 192
  9. 616
  10. 968
  11. 24
  12. 2744
  13. 3080
  14. 294
  15. 150
  16. 5544
  17. 792
  18. 176
  19. 208
  20. 96
  21. 32
  22. 726
  23. 60
  24. 1848
  25. 243
  26. 596
  27. 2002
  28. 996
  29. 240
  30. 2618
  31. 864
  32. 50
  33. 3375
  34. 162
  35. 729
  36. 766
  37. 84
  38. 200
  39. 1728
  40. 924

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