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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 308 · 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 100 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A box is 7 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
  3. 3.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)?
  4. 4.A closed box is 14 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  5. 5.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.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)
  7. 7.A closed box is 16 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  8. 8.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  9. 9.A fish tank is 70 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A closed box is 17 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  11. 11.A closed box is 10 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  12. 12.A closed box is 6 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  13. 13.A box is 14 cm long, 9 cm wide and 7 cm high. What is its volume (in cubic cm)?
  14. 14.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  16. 16.A fish tank is 90 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A cube has an edge of 5 cm. 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 15 cm × 30 cm × 30 cm?
  19. 19.A box is 4 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
  20. 20.A closed box is 13 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  21. 21.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A fish tank is 30 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A closed box is 3 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  25. 25.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 8 cm?
  26. 26.A box is 17 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
  27. 27.A closed box is 16 cm long, 13 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  28. 28.A closed box is 13 cm long, 10 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  29. 29.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  30. 30.A closed box is 8 cm long, 9 cm wide and 3 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 25 cm × 10 cm × 30 cm?
  32. 32.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  33. 33.A pipe (a cylinder) has a radius of 12 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A fish tank is 60 cm long, 90 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 17 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
  36. 36.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 18 cm × 9 cm?
  37. 37.A cylinder has a radius of 14 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 18 cm × 12 cm?
  40. 40.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 24 cm?

Answer key

  1. 150
  2. 84
  3. 572
  4. 436
  5. 528
  6. 144
  7. 248
  8. 216
  9. 140
  10. 422
  11. 520
  12. 168
  13. 882
  14. 1540
  15. 27
  16. 189
  17. 150
  18. 108
  19. 88
  20. 366
  21. 27720
  22. 23562
  23. 72
  24. 192
  25. 30
  26. 680
  27. 1112
  28. 536
  29. 384
  30. 246
  31. 60
  32. 125
  33. 528
  34. 540
  35. 204
  36. 72
  37. 8008
  38. 7392
  39. 144
  40. 144

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