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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 202 · 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 closed box is 3 cm long, 5 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  2. 2.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)?
  3. 3.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  4. 4.A box is 8 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
  5. 5.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A closed box is 18 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  7. 7.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)?
  8. 8.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.A box is 9 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
  10. 10.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)?
  11. 11.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  12. 12.A closed box is 15 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  13. 13.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  14. 14.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.A closed box is 17 cm long, 9 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  16. 16.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  18. 18.A closed box is 4 cm long, 14 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  19. 19.A closed box is 11 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  20. 20.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.A closed box is 4 cm long, 12 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  22. 22.A pipe (a cylinder) has a radius of 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  23. 23.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  24. 24.A closed box is 16 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  25. 25.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  26. 26.A box is 3 cm long, 11 cm wide and 12 cm high. What is its volume (in cubic cm)?
  27. 27.A box is 16 cm long, 6 cm wide and 12 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 20 cm × 8 cm × 8 cm?
  29. 29.A box is 19 cm long, 7 cm wide and 7 cm high. What is its volume (in cubic cm)?
  30. 30.A box is 12 cm long, 14 cm wide and 2 cm high. What is its volume (in cubic cm)?
  31. 31.A box is 4 cm long, 13 cm wide and 8 cm high. What is its volume (in cubic cm)?
  32. 32.A box is 16 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
  33. 33.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  34. 34.A pipe (a cylinder) has a radius of 7 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.A fish tank is 40 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A box is 8 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  37. 37.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  38. 38.A closed box is 4 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  39. 39.A pipe (a cylinder) has a radius of 7 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.A closed box is 4 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 78
  2. 1386
  3. 54
  4. 504
  5. 8624
  6. 592
  7. 484
  8. 352
  9. 405
  10. 1144
  11. 125
  12. 196
  13. 2744
  14. 352
  15. 410
  16. 264
  17. 729
  18. 436
  19. 434
  20. 88
  21. 448
  22. 792
  23. 1014
  24. 460
  25. 600
  26. 396
  27. 1152
  28. 20
  29. 931
  30. 336
  31. 416
  32. 1440
  33. 1331
  34. 880
  35. 96
  36. 160
  37. 486
  38. 76
  39. 176
  40. 66

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