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Volume and Surface Area Worksheet

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

Answer key

  1. 384
  2. 572
  3. 245
  4. 120
  5. 80
  6. 20
  7. 3080
  8. 840
  9. 45
  10. 1000
  11. 432
  12. 108
  13. 318
  14. 22176
  15. 2618
  16. 880
  17. 546
  18. 72
  19. 216
  20. 1820
  21. 60
  22. 176
  23. 1232
  24. 264
  25. 462
  26. 80
  27. 1350
  28. 125
  29. 352
  30. 160
  31. 8
  32. 12
  33. 90
  34. 560
  35. 192
  36. 288
  37. 4312
  38. 400
  39. 448
  40. 352

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