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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 505 · 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 16 cm long, 6 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  2. 2.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)?
  3. 3.A box is 6 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
  4. 4.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A closed box is 18 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  6. 6.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.A fish tank is 90 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A box is 17 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
  10. 10.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)?
  11. 11.A closed box is 3 cm long, 11 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  12. 12.A box is 10 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  13. 13.A box is 12 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  14. 14.A closed box is 15 cm long, 12 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  15. 15.A box is 6 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
  16. 16.A fish tank is 120 cm long, 90 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 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A fish tank is 70 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 12 cm?
  21. 21.A closed box is 12 cm long, 4 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  22. 22.A fish tank is 40 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 6 cm × 9 cm?
  24. 24.A box is 6 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
  25. 25.A box is 9 cm long, 15 cm wide and 9 cm high. What is its volume (in cubic cm)?
  26. 26.A closed box is 11 cm long, 15 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  27. 27.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)?
  28. 28.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)?
  29. 29.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 8 cm?
  30. 30.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.A closed box is 16 cm long, 11 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  32. 32.A closed box is 4 cm long, 12 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  33. 33.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A fish tank is 100 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A closed box is 5 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  36. 36.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 20 cm × 15 cm?
  37. 37.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)?
  38. 38.A box is 4 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  39. 39.A box is 5 cm long, 13 cm wide and 11 cm high. What is its volume (in cubic cm)?
  40. 40.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)?

Answer key

  1. 456
  2. 528
  3. 180
  4. 27720
  5. 408
  6. 220
  7. 5544
  8. 126
  9. 816
  10. 792
  11. 402
  12. 80
  13. 528
  14. 630
  15. 144
  16. 648
  17. 1672
  18. 441
  19. 22176
  20. 48
  21. 256
  22. 48
  23. 12
  24. 300
  25. 1215
  26. 902
  27. 176
  28. 2618
  29. 72
  30. 1144
  31. 568
  32. 480
  33. 13860
  34. 720
  35. 210
  36. 48
  37. 7392
  38. 72
  39. 715
  40. 528

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