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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 379 · 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 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A fish tank is 30 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A pipe (a cylinder) has a radius of 14 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 20 cm?
  5. 5.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A box is 14 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  7. 7.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  9. 9.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)?
  10. 10.A box is 5 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
  11. 11.A fish tank is 100 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 6 cm?
  13. 13.A fish tank is 30 cm long, 90 cm wide and 20 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 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  18. 18.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  19. 19.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 15 cm?
  20. 20.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  21. 21.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 25 cm × 10 cm?
  23. 23.A closed box is 17 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  24. 24.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  25. 25.A closed box is 5 cm long, 11 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  26. 26.A fish tank is 40 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.A cylinder has a radius of 21 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A box is 6 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  31. 31.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 9 cm?
  33. 33.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)?
  34. 34.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 6 cm?
  35. 35.A closed box is 9 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  36. 36.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 12 cm?
  37. 37.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 30 cm?
  38. 38.A closed box is 12 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  39. 39.A fish tank is 50 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 10 cm?

Answer key

  1. 88
  2. 180
  3. 1408
  4. 80
  5. 1320
  6. 112
  7. 2618
  8. 54
  9. 2464
  10. 120
  11. 500
  12. 12
  13. 54
  14. 880
  15. 27720
  16. 396
  17. 64
  18. 8
  19. 50
  20. 600
  21. 88
  22. 50
  23. 522
  24. 729
  25. 206
  26. 96
  27. 264
  28. 264
  29. 20790
  30. 198
  31. 528
  32. 72
  33. 8624
  34. 12
  35. 342
  36. 18
  37. 180
  38. 132
  39. 90
  40. 50

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