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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 438 · 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 pipe (a cylinder) has a radius of 14 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  3. 3.A closed box is 12 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  4. 4.A box is 15 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
  5. 5.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  6. 6.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  7. 7.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.A box is 12 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
  9. 9.A box is 5 cm long, 5 cm wide and 7 cm high. What is its volume (in cubic cm)?
  10. 10.A box is 15 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
  11. 11.A fish tank is 100 cm long, 70 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 12 cm. What is its total surface area (in sq cm)?
  13. 13.A box is 9 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
  14. 14.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.A box is 18 cm long, 2 cm wide and 12 cm high. What is its volume (in cubic cm)?
  16. 16.A box is 14 cm long, 12 cm wide and 5 cm high. What is its volume (in cubic cm)?
  17. 17.A closed box is 15 cm long, 4 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  18. 18.A closed box is 17 cm long, 13 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  19. 19.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  20. 20.A fish tank is 40 cm long, 80 cm wide and 80 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 6 cm × 10 cm × 8 cm?
  22. 22.A pipe (a cylinder) has a radius of 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  23. 23.A closed box is 3 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  24. 24.A closed box is 9 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  25. 25.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  26. 26.A box is 11 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
  27. 27.A fish tank is 80 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.A box is 20 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
  30. 30.A box is 13 cm long, 12 cm wide and 5 cm high. What is its volume (in cubic cm)?
  31. 31.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  32. 32.A pipe (a cylinder) has a radius of 14 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A box is 18 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  34. 34.A closed box is 11 cm long, 9 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  35. 35.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)?
  36. 36.A box is 5 cm long, 14 cm wide and 10 cm high. What is its volume (in cubic cm)?
  37. 37.A closed box is 9 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  38. 38.A closed box is 6 cm long, 14 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  39. 39.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 15 cm × 6 cm?
  40. 40.A box is 17 cm long, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?

Answer key

  1. 968
  2. 96
  3. 328
  4. 1650
  5. 8
  6. 216
  7. 3080
  8. 432
  9. 175
  10. 330
  11. 280
  12. 864
  13. 378
  14. 616
  15. 432
  16. 840
  17. 538
  18. 1162
  19. 64
  20. 256
  21. 60
  22. 792
  23. 62
  24. 280
  25. 1000
  26. 154
  27. 480
  28. 220
  29. 840
  30. 780
  31. 2197
  32. 440
  33. 792
  34. 318
  35. 792
  36. 700
  37. 150
  38. 608
  39. 40
  40. 1020

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