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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 463 · 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 cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  2. 2.A closed box is 11 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  3. 3.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  5. 5.A box is 10 cm long, 15 cm wide and 8 cm high. What is its volume (in cubic cm)?
  6. 6.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)
  7. 7.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)?
  8. 8.A box is 5 cm long, 4 cm wide and 3 cm high. What is its volume (in cubic cm)?
  9. 9.A box is 12 cm long, 13 cm wide and 12 cm high. What is its volume (in cubic cm)?
  10. 10.A closed box is 20 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  11. 11.A fish tank is 40 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  13. 13.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 12 cm?
  14. 14.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 15 cm?
  15. 15.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  16. 16.A box is 6 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  17. 17.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  18. 18.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 4 cm?
  19. 19.A box is 19 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
  20. 20.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 12 cm?
  21. 21.A closed box is 10 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  22. 22.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 9 cm?
  23. 23.A fish tank is 70 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A closed box is 15 cm long, 14 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  25. 25.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 9 cm?
  26. 26.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  27. 27.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  28. 28.A box is 11 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
  29. 29.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 20 cm?
  31. 31.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A closed box is 4 cm long, 3 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  33. 33.A closed box is 19 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  34. 34.A fish tank is 50 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 15 cm × 30 cm?
  36. 36.A box is 17 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
  37. 37.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  38. 38.A closed box is 7 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  39. 39.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  40. 40.A box is 4 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?

Answer key

  1. 294
  2. 462
  3. 6776
  4. 572
  5. 1200
  6. 192
  7. 4158
  8. 60
  9. 1872
  10. 304
  11. 32
  12. 216
  13. 120
  14. 90
  15. 54
  16. 1008
  17. 1014
  18. 32
  19. 798
  20. 72
  21. 164
  22. 54
  23. 168
  24. 942
  25. 30
  26. 2197
  27. 1728
  28. 66
  29. 2464
  30. 100
  31. 1672
  32. 122
  33. 628
  34. 120
  35. 90
  36. 510
  37. 216
  38. 502
  39. 125
  40. 420

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