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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 522 · 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 box is 15 cm long, 13 cm wide and 11 cm high. What is its volume (in cubic cm)?
  2. 2.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A closed box is 16 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  5. 5.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A box is 12 cm long, 8 cm wide and 3 cm high. What is its volume (in cubic cm)?
  7. 7.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.A box is 5 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  10. 10.A closed box is 17 cm long, 5 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  11. 11.A closed box is 16 cm long, 7 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  12. 12.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)?
  13. 13.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 15 cm × 10 cm?
  14. 14.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 24 cm × 20 cm?
  15. 15.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  16. 16.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)?
  17. 17.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 4 cm?
  18. 18.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)?
  19. 19.A box is 6 cm long, 12 cm wide and 12 cm high. What is its volume (in cubic cm)?
  20. 20.A box is 14 cm long, 8 cm wide and 7 cm high. What is its volume (in cubic cm)?
  21. 21.A closed box is 8 cm long, 3 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  22. 22.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  23. 23.A fish tank is 80 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A closed box is 4 cm long, 6 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  25. 25.A box is 3 cm long, 10 cm wide and 8 cm high. What is its volume (in cubic cm)?
  26. 26.A fish tank is 100 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A closed box is 6 cm long, 15 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  28. 28.A cylinder has a radius of 7 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 4 cm?
  33. 33.A closed box is 8 cm long, 8 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  34. 34.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  36. 36.A closed box is 3 cm long, 7 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  37. 37.A closed box is 13 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  38. 38.A fish tank is 30 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.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)?
  40. 40.A box is 7 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?

Answer key

  1. 2145
  2. 19404
  3. 1672
  4. 496
  5. 528
  6. 288
  7. 9240
  8. 792
  9. 110
  10. 346
  11. 776
  12. 352
  13. 30
  14. 60
  15. 572
  16. 15246
  17. 16
  18. 88
  19. 864
  20. 784
  21. 180
  22. 343
  23. 144
  24. 228
  25. 240
  26. 140
  27. 432
  28. 1078
  29. 2310
  30. 616
  31. 352
  32. 24
  33. 480
  34. 836
  35. 264
  36. 282
  37. 398
  38. 120
  39. 396
  40. 126

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