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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 502 · 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 box is 9 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  2. 2.A box is 16 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  3. 3.A closed box is 14 cm long, 13 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  4. 4.A fish tank is 70 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.A box is 18 cm long, 13 cm wide and 3 cm high. What is its volume (in cubic cm)?
  6. 6.A closed box is 11 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  7. 7.A closed box is 4 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  8. 8.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  9. 9.A box is 9 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  10. 10.A box is 10 cm long, 15 cm wide and 11 cm high. What is its volume (in cubic cm)?
  11. 11.A box is 13 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  12. 12.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  13. 13.A closed box is 13 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  14. 14.A fish tank is 60 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  16. 16.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)?
  17. 17.A closed box is 3 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  18. 18.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  19. 19.A closed box is 18 cm long, 11 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  20. 20.A pipe (a cylinder) has a radius of 14 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.A box is 17 cm long, 10 cm wide and 12 cm high. What is its volume (in cubic cm)?
  22. 22.A fish tank is 80 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A closed box is 3 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  24. 24.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)?
  25. 25.A fish tank is 90 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A fish tank is 80 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  28. 28.A box is 14 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  29. 29.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)?
  30. 30.A closed box is 13 cm long, 5 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  31. 31.A fish tank is 80 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A box is 7 cm long, 4 cm wide and 10 cm high. What is its volume (in cubic cm)?
  33. 33.A box is 15 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
  34. 34.A fish tank is 90 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 8 cm?
  36. 36.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)?
  37. 37.A box is 15 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
  38. 38.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  39. 39.A box is 13 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
  40. 40.A cylinder has a radius of 21 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 648
  2. 160
  3. 688
  4. 56
  5. 702
  6. 346
  7. 376
  8. 2156
  9. 135
  10. 1650
  11. 390
  12. 150
  13. 754
  14. 72
  15. 440
  16. 2618
  17. 288
  18. 2197
  19. 802
  20. 1056
  21. 2040
  22. 336
  23. 72
  24. 616
  25. 36
  26. 168
  27. 18018
  28. 1008
  29. 528
  30. 238
  31. 144
  32. 280
  33. 1620
  34. 324
  35. 32
  36. 1144
  37. 900
  38. 64
  39. 780
  40. 26334

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