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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 580 · 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 13 cm. What is its volume (in cubic cm)?
  2. 2.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.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)?
  4. 4.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  5. 5.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A box is 15 cm long, 10 cm wide and 12 cm high. What is its volume (in cubic cm)?
  7. 7.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  8. 8.A box is 15 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
  9. 9.A box is 3 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
  10. 10.A box is 17 cm long, 6 cm wide and 4 cm high. What is its volume (in cubic cm)?
  11. 11.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 12 cm × 8 cm?
  12. 12.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  13. 13.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.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)
  15. 15.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  16. 16.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
  18. 18.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 10 cm?
  19. 19.A cylinder has a radius of 14 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.A box is 12 cm long, 10 cm wide and 9 cm high. What is its volume (in cubic cm)?
  21. 21.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  22. 22.A closed box is 6 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  23. 23.A fish tank is 120 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A box is 18 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  25. 25.A fish tank is 80 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A fish tank is 60 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A cylinder has a radius of 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  28. 28.A closed box is 12 cm long, 7 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  29. 29.A fish tank is 30 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.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)?
  31. 31.A fish tank is 60 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A fish tank is 40 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 12 cm × 12 cm?
  34. 34.A fish tank is 100 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.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)?
  36. 36.A closed box is 16 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  37. 37.A box is 20 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
  38. 38.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 9 cm × 12 cm?
  39. 39.A closed box is 19 cm long, 11 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  40. 40.A fish tank is 40 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 2197
  2. 308
  3. 2464
  4. 8
  5. 6160
  6. 1800
  7. 512
  8. 210
  9. 90
  10. 408
  11. 120
  12. 864
  13. 352
  14. 216
  15. 125
  16. 132
  17. 216
  18. 40
  19. 9856
  20. 1080
  21. 729
  22. 104
  23. 720
  24. 288
  25. 216
  26. 84
  27. 9702
  28. 624
  29. 60
  30. 704
  31. 60
  32. 48
  33. 180
  34. 210
  35. 968
  36. 838
  37. 960
  38. 36
  39. 1138
  40. 32

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