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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 254 · 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 5 cm. What is its total surface area (in sq cm)?
  2. 2.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)?
  3. 3.A fish tank is 50 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 10 cm?
  5. 5.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  6. 6.A closed box is 18 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  7. 7.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 16 cm?
  8. 8.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  9. 9.A box is 16 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  10. 10.A box is 7 cm long, 12 cm wide and 11 cm high. What is its volume (in cubic cm)?
  11. 11.A box is 16 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
  12. 12.A box is 14 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  13. 13.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A box is 16 cm long, 6 cm wide and 11 cm high. What is its volume (in cubic cm)?
  15. 15.A box is 9 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?
  16. 16.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)?
  17. 17.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  18. 18.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 24 cm?
  19. 19.A box is 18 cm long, 11 cm wide and 12 cm high. What is its volume (in cubic cm)?
  20. 20.A cylinder has a radius of 21 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  21. 21.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A box is 17 cm long, 10 cm wide and 10 cm high. What is its volume (in cubic cm)?
  23. 23.A closed box is 13 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  24. 24.A closed box is 6 cm long, 7 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  25. 25.A fish tank is 60 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A closed box is 14 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  27. 27.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 12 cm?
  28. 28.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)?
  29. 29.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)?
  30. 30.A closed box is 11 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  31. 31.A box is 9 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
  32. 32.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  33. 33.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)?
  34. 34.A closed box is 10 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  35. 35.A closed box is 5 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  36. 36.A fish tank is 120 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  38. 38.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 18 cm?
  39. 39.A closed box is 17 cm long, 3 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  40. 40.A fish tank is 120 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 150
  2. 4312
  3. 45
  4. 60
  5. 1014
  6. 1150
  7. 100
  8. 924
  9. 160
  10. 924
  11. 192
  12. 462
  13. 1386
  14. 1056
  15. 252
  16. 2926
  17. 512
  18. 36
  19. 2376
  20. 15246
  21. 704
  22. 1700
  23. 1012
  24. 292
  25. 432
  26. 184
  27. 45
  28. 1056
  29. 308
  30. 404
  31. 1386
  32. 216
  33. 484
  34. 138
  35. 256
  36. 600
  37. 396
  38. 60
  39. 582
  40. 240

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