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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 392 · 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 8 cm. What is its volume (in cubic cm)?
  2. 2.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  3. 3.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.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)?
  5. 5.A fish tank is 50 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A box is 16 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
  7. 7.A box is 5 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
  8. 8.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  9. 9.A pipe (a cylinder) has a radius of 7 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  10. 10.A closed box is 20 cm long, 15 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  11. 11.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.A fish tank is 30 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.A box is 11 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  15. 15.A closed box is 4 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  16. 16.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 18 cm?
  17. 17.A closed box is 6 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  18. 18.A closed box is 12 cm long, 9 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  19. 19.A closed box is 9 cm long, 11 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  20. 20.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  21. 21.A fish tank is 100 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  23. 23.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)?
  24. 24.A box is 12 cm long, 13 cm wide and 8 cm high. What is its volume (in cubic cm)?
  25. 25.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  26. 26.A fish tank is 110 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 6 cm?
  28. 28.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)?
  29. 29.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 24 cm?
  30. 30.A closed box is 20 cm long, 6 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  31. 31.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)?
  32. 32.A closed box is 18 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  33. 33.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  34. 34.A closed box is 10 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  35. 35.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A box is 16 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
  37. 37.A box is 8 cm long, 11 cm wide and 6 cm high. What is its volume (in cubic cm)?
  38. 38.A box is 13 cm long, 13 cm wide and 11 cm high. What is its volume (in cubic cm)?
  39. 39.A box is 8 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
  40. 40.A fish tank is 90 cm long, 50 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 512
  2. 864
  3. 4312
  4. 5544
  5. 100
  6. 960
  7. 30
  8. 54
  9. 660
  10. 1440
  11. 176
  12. 180
  13. 704
  14. 110
  15. 66
  16. 108
  17. 248
  18. 510
  19. 678
  20. 384
  21. 900
  22. 726
  23. 770
  24. 1248
  25. 528
  26. 297
  27. 30
  28. 2772
  29. 36
  30. 344
  31. 264
  32. 686
  33. 2197
  34. 682
  35. 1540
  36. 1680
  37. 528
  38. 1859
  39. 968
  40. 270

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