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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 82 · 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 cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A closed box is 5 cm long, 5 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  3. 3.A fish tank is 110 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A box is 5 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
  5. 5.A box is 8 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
  6. 6.A box is 9 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
  7. 7.A box is 15 cm long, 14 cm wide and 5 cm high. What is its volume (in cubic cm)?
  8. 8.A fish tank is 100 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A cylinder has a radius of 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A fish tank is 110 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.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)?
  12. 12.A box is 11 cm long, 15 cm wide and 10 cm high. What is its volume (in cubic cm)?
  13. 13.A closed box is 16 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  14. 14.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.A fish tank is 40 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A closed box is 20 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  17. 17.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 4 cm?
  18. 18.A box is 3 cm long, 11 cm wide and 5 cm high. What is its volume (in cubic cm)?
  19. 19.A fish tank is 80 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A box is 5 cm long, 15 cm wide and 5 cm high. What is its volume (in cubic cm)?
  21. 21.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  22. 22.A closed box is 16 cm long, 6 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  23. 23.A cylinder has a radius of 7 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  24. 24.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)?
  25. 25.A box is 20 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
  26. 26.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  27. 27.A box is 13 cm long, 7 cm wide and 12 cm high. What is its volume (in cubic cm)?
  28. 28.A closed box is 14 cm long, 11 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  29. 29.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  30. 30.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A closed box is 17 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  32. 32.A box is 8 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  33. 33.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 4 cm?
  34. 34.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.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)?
  36. 36.A closed box is 13 cm long, 10 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  37. 37.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  38. 38.A fish tank is 40 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 16 cm?
  40. 40.A closed box is 14 cm long, 9 cm wide and 6 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 2002
  2. 190
  3. 88
  4. 125
  5. 216
  6. 135
  7. 1050
  8. 450
  9. 2464
  10. 132
  11. 2464
  12. 1650
  13. 608
  14. 6160
  15. 108
  16. 784
  17. 48
  18. 165
  19. 72
  20. 375
  21. 8
  22. 500
  23. 2926
  24. 484
  25. 3080
  26. 64
  27. 1092
  28. 508
  29. 3375
  30. 462
  31. 640
  32. 64
  33. 24
  34. 528
  35. 264
  36. 352
  37. 864
  38. 252
  39. 40
  40. 528

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