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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 398 · 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 11 cm. What is its total surface area (in sq cm)?
  2. 2.A fish tank is 80 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A fish tank is 70 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  5. 5.A closed box is 5 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  6. 6.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.A fish tank is 40 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A fish tank is 90 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A closed box is 15 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  10. 10.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A box is 14 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
  12. 12.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)?
  13. 13.A closed box is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  14. 14.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)?
  15. 15.A fish tank is 80 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A closed box is 16 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  17. 17.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  18. 18.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  19. 19.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 12 cm?
  20. 20.A closed box is 4 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  21. 21.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A pipe (a cylinder) has a radius of 7 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  23. 23.A closed box is 6 cm long, 10 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  24. 24.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  25. 25.A fish tank is 50 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A cylinder has a radius of 21 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  27. 27.A box is 4 cm long, 11 cm wide and 7 cm high. What is its volume (in cubic cm)?
  28. 28.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  29. 29.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 15 cm?
  30. 30.A box is 5 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  31. 31.A fish tank is 60 cm long, 70 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A box is 15 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  33. 33.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  34. 34.A closed box is 15 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  35. 35.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.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)?
  38. 38.A box is 4 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  39. 39.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)?
  40. 40.A closed box is 5 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 726
  2. 192
  3. 392
  4. 8
  5. 188
  6. 5544
  7. 144
  8. 567
  9. 414
  10. 1232
  11. 420
  12. 616
  13. 160
  14. 792
  15. 384
  16. 544
  17. 54
  18. 2772
  19. 72
  20. 112
  21. 88
  22. 176
  23. 408
  24. 150
  25. 225
  26. 20790
  27. 308
  28. 2197
  29. 30
  30. 250
  31. 294
  32. 60
  33. 64
  34. 424
  35. 2156
  36. 4312
  37. 264
  38. 176
  39. 3696
  40. 310

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