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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 126 · 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 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A closed box is 4 cm long, 13 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  3. 3.A closed box is 6 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  4. 4.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)?
  5. 5.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 4 cm?
  6. 6.A fish tank is 120 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A closed box is 12 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  8. 8.A closed box is 6 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  9. 9.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  10. 10.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  11. 11.A closed box is 18 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  12. 12.A box is 13 cm long, 10 cm wide and 12 cm high. What is its volume (in cubic cm)?
  13. 13.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  15. 15.A closed box is 7 cm long, 6 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  16. 16.A box is 20 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?
  17. 17.A closed box is 19 cm long, 6 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  18. 18.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  19. 19.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.A box is 8 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
  22. 22.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
  23. 23.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 8 cm?
  24. 24.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)?
  25. 25.A fish tank is 120 cm long, 90 cm wide and 30 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, 4 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  27. 27.A box is 10 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
  28. 28.A closed box is 16 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  29. 29.A box is 9 cm long, 12 cm wide and 2 cm high. What is its volume (in cubic cm)?
  30. 30.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)?
  31. 31.A closed box is 3 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  32. 32.A box is 7 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
  33. 33.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A fish tank is 100 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 12 cm × 12 cm?
  36. 36.A box is 18 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
  37. 37.A box is 10 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  38. 38.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  39. 39.A closed box is 20 cm long, 11 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  40. 40.A box is 4 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?

Answer key

  1. 15246
  2. 274
  3. 168
  4. 1320
  5. 24
  6. 864
  7. 678
  8. 348
  9. 220
  10. 27
  11. 1272
  12. 1560
  13. 7392
  14. 54
  15. 240
  16. 1980
  17. 628
  18. 343
  19. 10472
  20. 528
  21. 480
  22. 216
  23. 24
  24. 132
  25. 324
  26. 328
  27. 140
  28. 976
  29. 216
  30. 484
  31. 132
  32. 546
  33. 3696
  34. 120
  35. 80
  36. 324
  37. 220
  38. 2744
  39. 626
  40. 168

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