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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 340 · 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 14 cm. What is its total surface area (in sq cm)?
  2. 2.A fish tank is 90 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 16 cm?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 20 cm × 20 cm?
  5. 5.A fish tank is 80 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  7. 7.A closed box is 19 cm long, 6 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  8. 8.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  9. 9.A box is 15 cm long, 12 cm wide and 3 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 box is 3 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  12. 12.A box is 5 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
  13. 13.A closed box is 12 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  14. 14.A box is 9 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
  15. 15.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)?
  16. 16.A box is 11 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
  17. 17.A pipe (a cylinder) has a radius of 7 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A closed box is 6 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  19. 19.A box is 16 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  20. 20.A box is 13 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  21. 21.A box is 14 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
  22. 22.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  23. 23.A box is 17 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  24. 24.A fish tank is 90 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A closed box is 14 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  26. 26.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  27. 27.A box is 5 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
  28. 28.A box is 16 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  29. 29.A box is 14 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  30. 30.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A fish tank is 90 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  33. 33.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  34. 34.A pipe (a cylinder) has a radius of 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.A closed box is 11 cm long, 2 cm wide and 9 cm high. 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 15 cm × 20 cm × 15 cm?
  37. 37.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  38. 38.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  39. 39.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 12 cm × 20 cm?

Answer key

  1. 1176
  2. 216
  3. 72
  4. 96
  5. 128
  6. 512
  7. 628
  8. 3375
  9. 540
  10. 330
  11. 504
  12. 200
  13. 188
  14. 432
  15. 792
  16. 242
  17. 88
  18. 184
  19. 320
  20. 429
  21. 588
  22. 220
  23. 255
  24. 54
  25. 280
  26. 1232
  27. 105
  28. 480
  29. 210
  30. 616
  31. 72
  32. 343
  33. 726
  34. 484
  35. 278
  36. 36
  37. 352
  38. 486
  39. 1056
  40. 75

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