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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 302 · 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 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A box is 3 cm long, 8 cm wide and 12 cm high. What is its volume (in cubic cm)?
  3. 3.A closed box is 5 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  4. 4.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  5. 5.A box is 19 cm long, 11 cm wide and 12 cm high. What is its volume (in cubic cm)?
  6. 6.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)?
  7. 7.A box is 10 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
  8. 8.A box is 13 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
  9. 9.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)?
  10. 10.A box is 13 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
  11. 11.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)?
  12. 12.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  13. 13.A box is 4 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
  14. 14.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  15. 15.A box is 17 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
  16. 16.A closed box is 11 cm long, 13 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  17. 17.A closed box is 7 cm long, 6 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  18. 18.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 20 cm?
  19. 19.A closed box is 8 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  20. 20.A box is 10 cm long, 8 cm wide and 2 cm high. What is its volume (in cubic cm)?
  21. 21.A closed box is 9 cm long, 8 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  22. 22.A closed box is 14 cm long, 14 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  23. 23.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 16 cm × 20 cm?
  24. 24.A closed box is 4 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  25. 25.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 24 cm × 8 cm?
  26. 26.A box is 12 cm long, 8 cm wide and 11 cm high. What is its volume (in cubic cm)?
  27. 27.A box is 6 cm long, 10 cm wide and 8 cm high. What is its volume (in cubic cm)?
  28. 28.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 20 cm?
  29. 29.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 8 cm?
  30. 30.A fish tank is 30 cm long, 40 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 8 cm?
  32. 32.A closed box is 17 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  33. 33.A box is 11 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?
  34. 34.A box is 3 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
  35. 35.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A closed box is 20 cm long, 5 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  37. 37.A fish tank is 70 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A closed box is 10 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  39. 39.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)?
  40. 40.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 11088
  2. 288
  3. 460
  4. 484
  5. 2508
  6. 308
  7. 140
  8. 1092
  9. 396
  10. 390
  11. 616
  12. 1000
  13. 420
  14. 1728
  15. 544
  16. 526
  17. 266
  18. 45
  19. 366
  20. 160
  21. 450
  22. 952
  23. 120
  24. 150
  25. 72
  26. 1056
  27. 480
  28. 80
  29. 12
  30. 120
  31. 50
  32. 766
  33. 572
  34. 48
  35. 2772
  36. 350
  37. 140
  38. 568
  39. 1848
  40. 132

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