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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 482 · 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 70 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 4 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.A box is 13 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
  5. 5.A fish tank is 60 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A fish tank is 30 cm long, 40 cm wide and 50 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 21 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 6 cm × 9 cm?
  9. 9.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  10. 10.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 4 cm?
  11. 11.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
  12. 12.A fish tank is 100 cm long, 50 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A cylinder has a radius of 21 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A closed box is 12 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  15. 15.A closed box is 16 cm long, 13 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  16. 16.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 16 cm?
  17. 17.A pipe (a cylinder) has a radius of 7 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A fish tank is 50 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 8 cm?
  20. 20.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 12 cm?
  21. 21.A box is 11 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
  22. 22.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)?
  23. 23.A fish tank is 40 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A box is 10 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
  25. 25.A fish tank is 50 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 24 cm?
  27. 27.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  28. 28.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.A fish tank is 60 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  31. 31.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  32. 32.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 12 cm?
  33. 33.A closed box is 20 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  34. 34.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)?
  35. 35.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  36. 36.A box is 4 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
  37. 37.A closed box is 6 cm long, 6 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  38. 38.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  39. 39.A closed box is 20 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  40. 40.A closed box is 6 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 168
  2. 20
  3. 308
  4. 1014
  5. 144
  6. 60
  7. 20790
  8. 36
  9. 150
  10. 12
  11. 24
  12. 300
  13. 6930
  14. 592
  15. 938
  16. 16
  17. 792
  18. 140
  19. 48
  20. 60
  21. 968
  22. 528
  23. 400
  24. 270
  25. 200
  26. 150
  27. 64
  28. 704
  29. 144
  30. 2744
  31. 512
  32. 72
  33. 432
  34. 1232
  35. 396
  36. 160
  37. 264
  38. 384
  39. 784
  40. 324

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