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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 97 · 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 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A fish tank is 90 cm long, 60 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A box is 20 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  4. 4.A box is 20 cm long, 9 cm wide and 12 cm high. What is its volume (in cubic cm)?
  5. 5.A closed box is 16 cm long, 10 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  6. 6.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  7. 7.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  8. 8.A fish tank is 50 cm long, 50 cm wide and 100 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 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A closed box is 12 cm long, 10 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  11. 11.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  12. 12.A pipe (a cylinder) has a radius of 7 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  13. 13.A box is 7 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  14. 14.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.A closed box is 9 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  16. 16.A pipe (a cylinder) has a radius of 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  19. 19.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  20. 20.A box is 4 cm long, 5 cm wide and 9 cm high. What is its volume (in cubic cm)?
  21. 21.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  22. 22.A box is 3 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?
  23. 23.A box is 7 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
  24. 24.A closed box is 10 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  25. 25.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)?
  26. 26.A box is 13 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  27. 27.A box is 18 cm long, 9 cm wide and 4 cm high. What is its volume (in cubic cm)?
  28. 28.A fish tank is 90 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A fish tank is 80 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A box is 10 cm long, 10 cm wide and 10 cm high. What is its volume (in cubic cm)?
  32. 32.A fish tank is 100 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  34. 34.A closed box is 4 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  35. 35.A box is 4 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
  36. 36.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)?
  37. 37.A closed box is 19 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  38. 38.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  39. 39.A closed box is 5 cm long, 8 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  40. 40.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 3080
  2. 270
  3. 600
  4. 2160
  5. 528
  6. 726
  7. 150
  8. 250
  9. 11704
  10. 460
  11. 2197
  12. 176
  13. 231
  14. 23562
  15. 300
  16. 880
  17. 3696
  18. 308
  19. 864
  20. 180
  21. 3375
  22. 84
  23. 126
  24. 444
  25. 484
  26. 936
  27. 648
  28. 252
  29. 320
  30. 5544
  31. 1000
  32. 360
  33. 294
  34. 224
  35. 240
  36. 2772
  37. 622
  38. 96
  39. 366
  40. 396

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