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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 264 · 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 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)?
  2. 2.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)
  3. 3.A box is 4 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  4. 4.A fish tank is 70 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 6 cm?
  6. 6.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  7. 7.A box is 7 cm long, 11 cm wide and 6 cm high. What is its volume (in cubic cm)?
  8. 8.A closed box is 7 cm long, 3 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  9. 9.A fish tank is 120 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A closed box is 9 cm long, 12 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  11. 11.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A fish tank is 50 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A pipe (a cylinder) has a radius of 7 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.A fish tank is 30 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A box is 6 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
  16. 16.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  17. 17.A closed box is 19 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  18. 18.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  19. 19.A fish tank is 60 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 30 cm × 10 cm?
  21. 21.A closed box is 8 cm long, 3 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  22. 22.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)?
  23. 23.A closed box is 4 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  24. 24.A fish tank is 30 cm long, 50 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.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)?
  26. 26.A closed box is 16 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  27. 27.A box is 7 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  28. 28.A closed box is 11 cm long, 13 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  29. 29.A box is 16 cm long, 8 cm wide and 4 cm high. What is its volume (in cubic cm)?
  30. 30.A closed box is 18 cm long, 4 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  31. 31.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A fish tank is 120 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A closed box is 18 cm long, 15 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  34. 34.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  35. 35.A fish tank is 30 cm long, 100 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 30 cm?
  37. 37.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 20 cm × 24 cm?
  38. 38.A closed box is 8 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  39. 39.A fish tank is 120 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 308
  2. 162
  3. 40
  4. 224
  5. 24
  6. 216
  7. 462
  8. 202
  9. 144
  10. 720
  11. 770
  12. 315
  13. 880
  14. 135
  15. 132
  16. 3375
  17. 730
  18. 1694
  19. 108
  20. 48
  21. 180
  22. 352
  23. 178
  24. 75
  25. 9702
  26. 208
  27. 70
  28. 574
  29. 512
  30. 452
  31. 484
  32. 288
  33. 936
  34. 1014
  35. 270
  36. 108
  37. 180
  38. 290
  39. 96
  40. 1232

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