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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 271 · 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 cube has an edge of 4 cm. What is its volume (in cubic cm)?
  2. 2.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 30 cm?
  3. 3.A closed box is 19 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  4. 4.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 24 cm × 24 cm?
  5. 5.A cylinder has a radius of 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A closed box is 15 cm long, 13 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  7. 7.A box is 4 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  8. 8.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  9. 9.A box is 4 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
  10. 10.A fish tank is 120 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A box is 12 cm long, 6 cm wide and 8 cm high. What is its volume (in cubic cm)?
  13. 13.A box is 6 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  14. 14.A box is 6 cm long, 6 cm wide and 3 cm high. What is its volume (in cubic cm)?
  15. 15.A box is 3 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
  16. 16.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)?
  17. 17.A box is 12 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
  18. 18.A box is 7 cm long, 15 cm wide and 5 cm high. What is its volume (in cubic cm)?
  19. 19.A fish tank is 70 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A closed box is 16 cm long, 9 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  21. 21.A closed box is 10 cm long, 3 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  22. 22.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 4 cm?
  23. 23.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  24. 24.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A fish tank is 70 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.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)?
  27. 27.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  28. 28.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A closed box is 5 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  31. 31.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 20 cm × 10 cm?
  32. 32.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  33. 33.A box is 7 cm long, 4 cm wide and 12 cm high. What is its volume (in cubic cm)?
  34. 34.A fish tank is 60 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 25 cm?
  36. 36.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.A closed box is 10 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  38. 38.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  39. 39.A fish tank is 80 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A cube has an edge of 12 cm. What is its volume (in cubic cm)?

Answer key

  1. 64
  2. 180
  3. 706
  4. 72
  5. 11088
  6. 950
  7. 120
  8. 462
  9. 96
  10. 600
  11. 4312
  12. 576
  13. 132
  14. 108
  15. 264
  16. 528
  17. 360
  18. 525
  19. 63
  20. 688
  21. 268
  22. 12
  23. 150
  24. 704
  25. 224
  26. 11704
  27. 600
  28. 1232
  29. 2772
  30. 146
  31. 48
  32. 294
  33. 336
  34. 252
  35. 30
  36. 3696
  37. 136
  38. 308
  39. 168
  40. 1728

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