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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 358 · 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 closed box is 19 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  2. 2.A pipe (a cylinder) has a radius of 12 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  3. 3.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 18 cm × 18 cm?
  5. 5.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)?
  6. 6.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 6 cm?
  7. 7.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 20 cm × 12 cm?
  8. 8.A closed box is 19 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  9. 9.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  10. 10.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  11. 11.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  12. 12.A fish tank is 90 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  14. 14.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 16 cm?
  16. 16.A fish tank is 80 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A closed box is 18 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  19. 19.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 6 cm?
  20. 20.A fish tank is 30 cm long, 100 cm wide and 40 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 8 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A fish tank is 50 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A closed box is 14 cm long, 8 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  24. 24.A fish tank is 50 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  26. 26.A box is 7 cm long, 9 cm wide and 12 cm high. What is its volume (in cubic cm)?
  27. 27.A fish tank is 70 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 12 cm?
  29. 29.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  30. 30.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 6 cm?
  31. 31.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  32. 32.A closed box is 10 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  33. 33.A box is 4 cm long, 13 cm wide and 3 cm high. What is its volume (in cubic cm)?
  34. 34.A box is 18 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  35. 35.A box is 9 cm long, 6 cm wide and 9 cm high. What is its volume (in cubic cm)?
  36. 36.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  37. 37.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)?
  38. 38.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  39. 39.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)?
  40. 40.A box is 15 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?

Answer key

  1. 566
  2. 528
  3. 308
  4. 72
  5. 2618
  6. 60
  7. 90
  8. 1324
  9. 1000
  10. 864
  11. 27
  12. 567
  13. 1014
  14. 4158
  15. 16
  16. 384
  17. 440
  18. 552
  19. 45
  20. 120
  21. 704
  22. 70
  23. 620
  24. 100
  25. 96
  26. 756
  27. 147
  28. 72
  29. 600
  30. 60
  31. 3375
  32. 88
  33. 156
  34. 540
  35. 486
  36. 1350
  37. 4928
  38. 54
  39. 352
  40. 540

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