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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 410 · 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.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 4 cm?
  2. 2.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  3. 3.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)?
  4. 4.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)
  5. 5.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A fish tank is 70 cm long, 40 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A box is 12 cm long, 9 cm wide and 9 cm high. What is its volume (in cubic cm)?
  8. 8.A box is 13 cm long, 4 cm wide and 12 cm high. What is its volume (in cubic cm)?
  9. 9.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 9 cm × 6 cm?
  10. 10.A closed box is 3 cm long, 5 cm wide and 3 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 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A box is 20 cm long, 15 cm wide and 5 cm high. What is its volume (in cubic cm)?
  13. 13.A fish tank is 70 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  16. 16.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 15 cm?
  18. 18.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 16 cm?
  19. 19.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  21. 21.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.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)?
  23. 23.A closed box is 12 cm long, 14 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  24. 24.A box is 5 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
  25. 25.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)?
  26. 26.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  27. 27.A fish tank is 100 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A closed box is 5 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  29. 29.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 12 cm?
  30. 30.A fish tank is 80 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A box is 9 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
  32. 32.A box is 6 cm long, 11 cm wide and 12 cm high. What is its volume (in cubic cm)?
  33. 33.A closed box is 9 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  34. 34.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)?
  35. 35.A closed box is 12 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  36. 36.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  37. 37.A closed box is 16 cm long, 12 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  38. 38.A fish tank is 80 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.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)?
  40. 40.A box is 13 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?

Answer key

  1. 20
  2. 616
  3. 308
  4. 108
  5. 6776
  6. 280
  7. 972
  8. 624
  9. 24
  10. 78
  11. 1386
  12. 1500
  13. 378
  14. 1144
  15. 792
  16. 704
  17. 12
  18. 48
  19. 132
  20. 5544
  21. 176
  22. 880
  23. 908
  24. 80
  25. 2464
  26. 8
  27. 210
  28. 76
  29. 120
  30. 96
  31. 162
  32. 792
  33. 446
  34. 704
  35. 416
  36. 64
  37. 1056
  38. 64
  39. 660
  40. 468

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