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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 134 · 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 pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A cylinder has a radius of 14 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A box is 14 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 15 cm × 30 cm?
  5. 5.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 10 cm × 6 cm?
  6. 6.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.A box is 11 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
  8. 8.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.A closed box is 14 cm long, 14 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  10. 10.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)?
  11. 11.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 10 cm?
  12. 12.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 25 cm?
  13. 13.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)?
  14. 14.A box is 3 cm long, 4 cm wide and 12 cm high. What is its volume (in cubic cm)?
  15. 15.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  16. 16.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  17. 17.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  18. 18.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 30 cm × 25 cm?
  19. 19.A closed box is 8 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  20. 20.A fish tank is 60 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.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)?
  22. 22.A box is 18 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  23. 23.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)?
  24. 24.A closed box is 5 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  25. 25.A box is 17 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
  26. 26.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 18 cm × 15 cm?
  27. 27.A fish tank is 40 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A fish tank is 40 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A box is 17 cm long, 12 cm wide and 6 cm high. What is its volume (in cubic cm)?
  30. 30.A box is 11 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
  31. 31.A closed box is 13 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  32. 32.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.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)?
  34. 34.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)?
  35. 35.A cylinder has a radius of 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A closed box is 10 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  37. 37.A box is 8 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  38. 38.A cylinder has a radius of 14 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.A box is 18 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
  40. 40.A fish tank is 120 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 264
  2. 4928
  3. 560
  4. 54
  5. 75
  6. 1232
  7. 264
  8. 440
  9. 1008
  10. 264
  11. 60
  12. 150
  13. 2156
  14. 144
  15. 704
  16. 1176
  17. 864
  18. 120
  19. 112
  20. 540
  21. 528
  22. 162
  23. 264
  24. 230
  25. 204
  26. 60
  27. 324
  28. 32
  29. 1224
  30. 990
  31. 172
  32. 616
  33. 352
  34. 484
  35. 9702
  36. 164
  37. 128
  38. 8008
  39. 1386
  40. 480

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