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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 382 · 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 18 cm long, 10 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  2. 2.A box is 10 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
  3. 3.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
  5. 5.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)?
  6. 6.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)?
  7. 7.A box is 13 cm long, 6 cm wide and 9 cm high. What is its volume (in cubic cm)?
  8. 8.A box is 5 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
  9. 9.A box is 6 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?
  10. 10.A pipe (a cylinder) has a radius of 13 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A closed box is 5 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  12. 12.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 12 cm?
  13. 13.A box is 13 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
  14. 14.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 6 cm?
  16. 16.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.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)?
  18. 18.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 10 cm?
  19. 19.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  20. 20.A closed box is 7 cm long, 6 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  21. 21.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  22. 22.A box is 8 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
  23. 23.A box is 6 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
  24. 24.A box is 7 cm long, 2 cm wide and 12 cm high. What is its volume (in cubic cm)?
  25. 25.A box is 4 cm long, 15 cm wide and 11 cm high. What is its volume (in cubic cm)?
  26. 26.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  27. 27.A box is 7 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
  28. 28.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)?
  29. 29.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 12 cm × 12 cm?
  30. 30.A closed box is 19 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  31. 31.A closed box is 18 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  32. 32.A fish tank is 70 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.A box is 9 cm long, 8 cm wide and 8 cm high. What is its volume (in cubic cm)?
  36. 36.A box is 5 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  37. 37.A box is 15 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  38. 38.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  39. 39.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  40. 40.A closed box is 13 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 696
  2. 360
  3. 396
  4. 27
  5. 1056
  6. 484
  7. 702
  8. 525
  9. 594
  10. 572
  11. 104
  12. 36
  13. 1092
  14. 729
  15. 12
  16. 88
  17. 968
  18. 12
  19. 3375
  20. 240
  21. 1331
  22. 320
  23. 462
  24. 168
  25. 660
  26. 1320
  27. 252
  28. 11088
  29. 144
  30. 750
  31. 584
  32. 567
  33. 24948
  34. 11704
  35. 576
  36. 80
  37. 450
  38. 96
  39. 125
  40. 526

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