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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 194 · 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 9 cm long, 12 cm wide and 5 cm high. What is its volume (in cubic cm)?
  2. 2.A box is 17 cm long, 12 cm wide and 2 cm high. What is its volume (in cubic cm)?
  3. 3.A closed box is 12 cm long, 2 cm wide and 5 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 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  5. 5.A box is 14 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
  6. 6.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)?
  7. 7.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 18 cm?
  8. 8.A closed box is 7 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  9. 9.A pipe (a cylinder) has a radius of 14 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  10. 10.A fish tank is 80 cm long, 50 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.A box is 7 cm long, 4 cm wide and 10 cm high. What is its volume (in cubic cm)?
  12. 12.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)?
  13. 13.A fish tank is 90 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 18 cm?
  15. 15.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)?
  16. 16.A box is 4 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
  17. 17.A box is 12 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  18. 18.A closed box is 19 cm long, 12 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  19. 19.A cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.A box is 15 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  21. 21.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)?
  22. 22.A box is 17 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
  23. 23.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  24. 24.A fish tank is 90 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A box is 5 cm long, 15 cm wide and 5 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 15 cm × 12 cm × 6 cm?
  27. 27.A pipe (a cylinder) has a radius of 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
  29. 29.A closed box is 8 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  30. 30.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 25 cm × 20 cm?
  31. 31.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  32. 32.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 24 cm?
  33. 33.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  34. 34.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 9 cm × 15 cm?
  36. 36.A closed box is 8 cm long, 8 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  37. 37.A box is 7 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
  38. 38.A box is 7 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
  39. 39.A fish tank is 110 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A closed box is 3 cm long, 9 cm wide and 2 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 540
  2. 408
  3. 188
  4. 528
  5. 2156
  6. 88
  7. 90
  8. 502
  9. 440
  10. 240
  11. 280
  12. 264
  13. 405
  14. 36
  15. 836
  16. 420
  17. 864
  18. 828
  19. 18018
  20. 270
  21. 1078
  22. 544
  23. 125
  24. 567
  25. 375
  26. 40
  27. 792
  28. 216
  29. 544
  30. 100
  31. 8
  32. 72
  33. 1728
  34. 23562
  35. 60
  36. 256
  37. 84
  38. 126
  39. 297
  40. 102

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