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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 73 · 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 12 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  2. 2.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 8 cm?
  3. 3.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)?
  4. 4.A fish tank is 70 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.A fish tank is 30 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 15 cm?
  7. 7.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.A box is 9 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  9. 9.A box is 3 cm long, 8 cm wide and 10 cm high. What is its volume (in cubic cm)?
  10. 10.A box is 14 cm long, 14 cm wide and 6 cm high. What is its volume (in cubic cm)?
  11. 11.A closed box is 15 cm long, 10 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  12. 12.A cylinder has a radius of 7 cm and a height of 13 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 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  16. 16.A closed box is 5 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  17. 17.A closed box is 20 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  18. 18.A fish tank is 60 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.A fish tank is 40 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 6 cm?
  22. 22.A fish tank is 110 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A closed box is 18 cm long, 11 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  24. 24.A closed box is 18 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  25. 25.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  26. 26.A closed box is 3 cm long, 5 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  27. 27.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  28. 28.A fish tank is 90 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  30. 30.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  31. 31.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  32. 32.A closed box is 7 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  33. 33.A closed box is 3 cm long, 3 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  34. 34.A box is 11 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
  35. 35.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  36. 36.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 25 cm?
  37. 37.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  38. 38.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 15 cm × 12 cm?
  39. 39.A box is 8 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  40. 40.A cube has an edge of 15 cm. What is its volume (in cubic cm)?

Answer key

  1. 108
  2. 64
  3. 704
  4. 112
  5. 84
  6. 36
  7. 132
  8. 36
  9. 240
  10. 1176
  11. 750
  12. 2002
  13. 84
  14. 1144
  15. 132
  16. 310
  17. 736
  18. 72
  19. 4158
  20. 112
  21. 90
  22. 99
  23. 570
  24. 528
  25. 294
  26. 94
  27. 1014
  28. 486
  29. 24
  30. 1000
  31. 2310
  32. 298
  33. 42
  34. 1210
  35. 150
  36. 100
  37. 729
  38. 80
  39. 240
  40. 3375

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