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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 367 · 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 18 cm long, 15 cm wide and 11 cm high. What is its volume (in cubic cm)?
  2. 2.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A closed box is 19 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  4. 4.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A cylinder has a radius of 7 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A closed box is 4 cm long, 8 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  7. 7.A closed box is 5 cm long, 12 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  8. 8.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 20 cm × 25 cm?
  9. 9.A box is 11 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
  10. 10.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.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)?
  12. 12.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)?
  13. 13.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 30 cm?
  14. 14.A box is 8 cm long, 9 cm wide and 5 cm high. What is its volume (in cubic cm)?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 10 cm?
  16. 16.A closed box is 13 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  17. 17.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 20 cm × 10 cm?
  18. 18.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)?
  19. 19.A closed box is 4 cm long, 4 cm wide and 6 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 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 10 cm?
  22. 22.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)?
  23. 23.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  24. 24.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  25. 25.A box is 14 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
  26. 26.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  27. 27.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  28. 28.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A box is 16 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
  31. 31.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 16 cm × 20 cm?
  32. 32.A pipe (a cylinder) has a radius of 14 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A box is 12 cm long, 8 cm wide and 11 cm high. What is its volume (in cubic cm)?
  34. 34.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 20 cm?
  35. 35.A closed box is 14 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  36. 36.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 16 cm?
  37. 37.A cylinder has a radius of 14 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.A fish tank is 40 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.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)?
  40. 40.A box is 12 cm long, 8 cm wide and 5 cm high. What is its volume (in cubic cm)?

Answer key

  1. 2970
  2. 2156
  3. 1006
  4. 1694
  5. 2926
  6. 160
  7. 222
  8. 80
  9. 847
  10. 1232
  11. 264
  12. 176
  13. 48
  14. 360
  15. 30
  16. 418
  17. 48
  18. 352
  19. 128
  20. 44
  21. 60
  22. 616
  23. 2197
  24. 216
  25. 1260
  26. 24
  27. 12474
  28. 704
  29. 5544
  30. 960
  31. 40
  32. 264
  33. 1056
  34. 120
  35. 216
  36. 36
  37. 12320
  38. 128
  39. 7392
  40. 480

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