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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 280 · 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 cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  2. 2.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 4 cm?
  3. 3.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A box is 4 cm long, 11 cm wide and 12 cm high. What is its volume (in cubic cm)?
  5. 5.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  6. 6.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.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)?
  8. 8.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 15 cm × 6 cm?
  9. 9.A closed box is 13 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  10. 10.A cylinder has a radius of 14 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A box is 20 cm long, 11 cm wide and 6 cm high. What is its volume (in cubic cm)?
  12. 12.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  13. 13.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)?
  14. 14.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 4 cm?
  15. 15.A box is 19 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
  16. 16.A box is 16 cm long, 8 cm wide and 4 cm high. What is its volume (in cubic cm)?
  17. 17.A closed box is 13 cm long, 7 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  18. 18.A fish tank is 70 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.A closed box is 17 cm long, 13 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  21. 21.A fish tank is 40 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A box is 5 cm long, 14 cm wide and 4 cm high. What is its volume (in cubic cm)?
  23. 23.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)?
  24. 24.A closed box is 11 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  25. 25.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)?
  26. 26.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 10 cm?
  27. 27.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  28. 28.A pipe (a cylinder) has a radius of 14 cm and a length of 9 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 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A fish tank is 100 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  32. 32.A fish tank is 110 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.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)?
  34. 34.A closed box is 6 cm long, 11 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  35. 35.A closed box is 7 cm long, 6 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  36. 36.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  37. 37.A closed box is 14 cm long, 12 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  38. 38.A pipe (a cylinder) has a radius of 14 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  39. 39.A fish tank is 60 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A fish tank is 50 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 600
  2. 24
  3. 176
  4. 528
  5. 8
  6. 220
  7. 352
  8. 50
  9. 526
  10. 4928
  11. 1320
  12. 27
  13. 440
  14. 16
  15. 912
  16. 512
  17. 622
  18. 392
  19. 2772
  20. 982
  21. 24
  22. 280
  23. 1694
  24. 430
  25. 616
  26. 12
  27. 10472
  28. 792
  29. 1232
  30. 420
  31. 2744
  32. 1100
  33. 8316
  34. 404
  35. 136
  36. 150
  37. 492
  38. 264
  39. 420
  40. 80

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