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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 353 · 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 10 cm long, 9 cm wide and 11 cm high. What is its volume (in cubic cm)?
  2. 2.A box is 16 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
  3. 3.A closed box is 11 cm long, 3 cm wide and 8 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 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  5. 5.A box is 17 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  6. 6.A fish tank is 50 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A cylinder has a radius of 7 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  9. 9.A fish tank is 60 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 6 cm?
  11. 11.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 30 cm?
  12. 12.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 4 cm?
  13. 13.A box is 3 cm long, 8 cm wide and 3 cm high. What is its volume (in cubic cm)?
  14. 14.A box is 4 cm long, 11 cm wide and 5 cm high. What is its volume (in cubic cm)?
  15. 15.A box is 13 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  16. 16.A closed box is 9 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  17. 17.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)?
  18. 18.A fish tank is 90 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A box is 4 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  20. 20.A closed box is 3 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  21. 21.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A fish tank is 30 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A closed box is 3 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  24. 24.A fish tank is 120 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A cylinder has a radius of 21 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.A fish tank is 90 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  28. 28.A closed box is 14 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  29. 29.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)?
  30. 30.A box is 18 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?
  31. 31.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 8 cm?
  32. 32.A box is 17 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
  33. 33.A box is 15 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
  34. 34.A closed box is 15 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  35. 35.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 10 cm?
  36. 36.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  38. 38.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  39. 39.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  40. 40.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 990
  2. 384
  3. 290
  4. 176
  5. 272
  6. 105
  7. 2926
  8. 27
  9. 162
  10. 18
  11. 36
  12. 24
  13. 72
  14. 220
  15. 936
  16. 126
  17. 88
  18. 648
  19. 672
  20. 150
  21. 1496
  22. 270
  23. 92
  24. 480
  25. 26334
  26. 216
  27. 1000
  28. 574
  29. 440
  30. 504
  31. 8
  32. 1071
  33. 240
  34. 196
  35. 75
  36. 924
  37. 343
  38. 96
  39. 125
  40. 12474

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