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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 569 · 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 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  3. 3.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A closed box is 10 cm long, 14 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  5. 5.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  6. 6.A box is 15 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
  7. 7.A fish tank is 80 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  9. 9.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)?
  10. 10.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  11. 11.A fish tank is 50 cm long, 20 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.A fish tank is 80 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A box is 14 cm long, 13 cm wide and 5 cm high. What is its volume (in cubic cm)?
  14. 14.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  15. 15.A pipe (a cylinder) has a radius of 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  16. 16.A closed box is 15 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  17. 17.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  18. 18.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  19. 19.A fish tank is 120 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  21. 21.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A box is 6 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
  23. 23.A box is 6 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
  24. 24.A fish tank is 60 cm long, 70 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 6 cm?
  26. 26.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  27. 27.A pipe (a cylinder) has a radius of 7 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.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)?
  30. 30.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)?
  31. 31.A fish tank is 90 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A closed box is 17 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  33. 33.A closed box is 19 cm long, 13 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  34. 34.A box is 5 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
  35. 35.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A fish tank is 70 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A closed box is 17 cm long, 6 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  38. 38.A fish tank is 70 cm long, 50 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A box is 5 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
  40. 40.A box is 8 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?

Answer key

  1. 1496
  2. 1000
  3. 1672
  4. 520
  5. 600
  6. 90
  7. 216
  8. 384
  9. 5544
  10. 729
  11. 80
  12. 144
  13. 910
  14. 486
  15. 484
  16. 434
  17. 54
  18. 88
  19. 504
  20. 294
  21. 440
  22. 300
  23. 360
  24. 294
  25. 90
  26. 27
  27. 176
  28. 836
  29. 770
  30. 616
  31. 630
  32. 410
  33. 1262
  34. 585
  35. 4158
  36. 84
  37. 296
  38. 210
  39. 60
  40. 504

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