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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 513 · 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 5 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  2. 2.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 25 cm × 30 cm?
  3. 3.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.A box is 4 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
  5. 5.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  6. 6.A fish tank is 110 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A box is 16 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?
  8. 8.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  9. 9.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  10. 10.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 4 cm?
  11. 11.A closed box is 18 cm long, 9 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  12. 12.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)?
  13. 13.A fish tank is 40 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A closed box is 5 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  15. 15.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A fish tank is 110 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  18. 18.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 10 cm?
  19. 19.A closed box is 19 cm long, 14 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  20. 20.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  21. 21.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A closed box is 6 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  23. 23.A fish tank is 110 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A box is 6 cm long, 5 cm wide and 11 cm high. What is its volume (in cubic cm)?
  25. 25.A closed box is 7 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  26. 26.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)?
  27. 27.A box is 8 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  28. 28.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.A closed box is 11 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  30. 30.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)
  31. 31.A closed box is 11 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  32. 32.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)?
  33. 33.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)?
  34. 34.A closed box is 19 cm long, 9 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  35. 35.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  36. 36.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  37. 37.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.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)?
  39. 39.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)?
  40. 40.A pipe (a cylinder) has a radius of 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 50
  2. 90
  3. 770
  4. 24
  5. 1000
  6. 462
  7. 832
  8. 384
  9. 1496
  10. 24
  11. 756
  12. 2772
  13. 64
  14. 174
  15. 6776
  16. 264
  17. 512
  18. 40
  19. 1192
  20. 729
  21. 5544
  22. 228
  23. 616
  24. 330
  25. 562
  26. 2464
  27. 144
  28. 748
  29. 462
  30. 72
  31. 434
  32. 1144
  33. 176
  34. 1014
  35. 343
  36. 1331
  37. 1848
  38. 616
  39. 3696
  40. 968

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