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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 380 · 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 box is 14 cm long, 14 cm wide and 8 cm high. What is its volume (in cubic cm)?
  2. 2.A box is 13 cm long, 5 cm wide and 9 cm high. What is its volume (in cubic cm)?
  3. 3.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.A closed box is 9 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  5. 5.A fish tank is 30 cm long, 50 cm wide and 80 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 3 cm. What is its total surface area (in sq cm)?
  7. 7.A box is 9 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
  8. 8.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)?
  9. 9.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)?
  10. 10.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)?
  11. 11.A pipe (a cylinder) has a radius of 7 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.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)?
  13. 13.A closed box is 10 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  14. 14.A fish tank is 100 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A closed box is 18 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  16. 16.A box is 7 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  17. 17.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A box is 20 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  19. 19.A cylinder has a radius of 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 8 cm?
  21. 21.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  22. 22.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  24. 24.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  25. 25.A box is 20 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
  26. 26.A closed box is 18 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  27. 27.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 24 cm?
  28. 28.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 12 cm?
  29. 29.A fish tank is 80 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A closed box is 11 cm long, 9 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  31. 31.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)?
  32. 32.A fish tank is 70 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 15 cm × 10 cm?
  34. 34.A fish tank is 40 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 6 cm?
  36. 36.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  37. 37.A box is 17 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
  38. 38.A closed box is 20 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  39. 39.A closed box is 15 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  40. 40.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 1568
  2. 585
  3. 8624
  4. 124
  5. 120
  6. 54
  7. 135
  8. 1694
  9. 352
  10. 132
  11. 660
  12. 88
  13. 242
  14. 140
  15. 486
  16. 70
  17. 1232
  18. 600
  19. 8316
  20. 24
  21. 729
  22. 9240
  23. 864
  24. 7392
  25. 700
  26. 1002
  27. 36
  28. 72
  29. 80
  30. 358
  31. 2002
  32. 252
  33. 30
  34. 288
  35. 24
  36. 486
  37. 1428
  38. 432
  39. 230
  40. 1584

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