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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 559 · 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 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A box is 7 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
  3. 3.A box is 18 cm long, 2 cm wide and 12 cm high. What is its volume (in cubic cm)?
  4. 4.A box is 19 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
  5. 5.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  7. 7.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  9. 9.A box is 7 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
  10. 10.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)?
  11. 11.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  13. 13.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 15 cm?
  14. 14.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 18 cm?
  15. 15.A box is 3 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
  16. 16.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.A fish tank is 40 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A fish tank is 80 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A box is 14 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
  20. 20.A box is 7 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  21. 21.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  22. 22.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A box is 14 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
  24. 24.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)?
  25. 25.A box is 15 cm long, 8 cm wide and 12 cm high. What is its volume (in cubic cm)?
  26. 26.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  27. 27.A closed box is 3 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  28. 28.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  29. 29.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)?
  30. 30.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 8 cm?
  32. 32.A closed box is 15 cm long, 8 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  33. 33.A fish tank is 80 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A closed box is 4 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  35. 35.A fish tank is 110 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A fish tank is 110 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  38. 38.A fish tank is 50 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  40. 40.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)?

Answer key

  1. 352
  2. 126
  3. 432
  4. 114
  5. 1760
  6. 600
  7. 3080
  8. 384
  9. 280
  10. 616
  11. 2618
  12. 1176
  13. 60
  14. 60
  15. 180
  16. 770
  17. 56
  18. 504
  19. 840
  20. 1176
  21. 2744
  22. 16632
  23. 882
  24. 220
  25. 1440
  26. 486
  27. 206
  28. 2197
  29. 88
  30. 11704
  31. 30
  32. 654
  33. 320
  34. 376
  35. 396
  36. 198
  37. 8
  38. 200
  39. 864
  40. 264

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