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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 507 · 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 closed box is 6 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  2. 2.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)?
  3. 3.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A closed box is 11 cm long, 6 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  5. 5.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  6. 6.A box is 3 cm long, 13 cm wide and 10 cm high. What is its volume (in cubic cm)?
  7. 7.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.A box is 6 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
  9. 9.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  10. 10.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 9 cm?
  11. 11.A box is 4 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
  12. 12.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
  13. 13.A box is 18 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
  14. 14.A fish tank is 110 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A fish tank is 30 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.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)
  17. 17.A cylinder has a radius of 14 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.A fish tank is 70 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A box is 3 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
  20. 20.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.A closed box is 11 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  22. 22.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  23. 23.A box is 12 cm long, 7 cm wide and 8 cm high. What is its volume (in cubic cm)?
  24. 24.A closed box is 11 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  25. 25.A fish tank is 60 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A fish tank is 90 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 30 cm × 30 cm?
  28. 28.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.A box is 19 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  30. 30.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.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)?
  32. 32.A box is 5 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
  33. 33.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)?
  34. 34.A closed box is 7 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 6 cm × 18 cm?
  36. 36.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  37. 37.A fish tank is 80 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A fish tank is 90 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A box is 9 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
  40. 40.A cylinder has a radius of 7 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 136
  2. 528
  3. 792
  4. 472
  5. 1331
  6. 390
  7. 836
  8. 126
  9. 125
  10. 90
  11. 60
  12. 8
  13. 252
  14. 198
  15. 150
  16. 540
  17. 4928
  18. 336
  19. 75
  20. 264
  21. 206
  22. 216
  23. 672
  24. 334
  25. 144
  26. 378
  27. 108
  28. 3696
  29. 950
  30. 264
  31. 6930
  32. 420
  33. 704
  34. 82
  35. 60
  36. 726
  37. 384
  38. 162
  39. 126
  40. 1078

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