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Volume and Surface Area Worksheet

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

Answer key

  1. 1000
  2. 80
  3. 704
  4. 9702
  5. 18018
  6. 240
  7. 616
  8. 54
  9. 64
  10. 729
  11. 54
  12. 9240
  13. 24
  14. 528
  15. 60
  16. 64
  17. 288
  18. 36
  19. 792
  20. 50
  21. 998
  22. 350
  23. 772
  24. 432
  25. 240
  26. 528
  27. 168
  28. 444
  29. 216
  30. 480
  31. 1080
  32. 1482
  33. 600
  34. 120
  35. 1920
  36. 276
  37. 176
  38. 231
  39. 1728
  40. 168

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