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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 397 · 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 10 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  2. 2.A box is 13 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  3. 3.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)?
  4. 4.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  5. 5.A box is 6 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
  6. 6.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  7. 7.A fish tank is 100 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A closed box is 15 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  9. 9.A fish tank is 100 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A fish tank is 60 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  12. 12.A closed box is 20 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  13. 13.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  14. 14.A fish tank is 40 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  16. 16.A box is 3 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  17. 17.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)?
  18. 18.A closed box is 11 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  19. 19.A box is 15 cm long, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?
  20. 20.A closed box is 4 cm long, 5 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  21. 21.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  22. 22.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)?
  23. 23.A closed box is 19 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  24. 24.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  25. 25.A cylinder has a radius of 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  27. 27.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  28. 28.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  29. 29.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  30. 30.A pipe (a cylinder) has a radius of 13 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  32. 32.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 15 cm?
  33. 33.A fish tank is 70 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A pipe (a cylinder) has a radius of 8 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.A closed box is 12 cm long, 11 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  36. 36.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  37. 37.A fish tank is 40 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A closed box is 17 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  39. 39.A box is 17 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?
  40. 40.A pipe (a cylinder) has a radius of 7 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 340
  2. 260
  3. 440
  4. 132
  5. 378
  6. 3375
  7. 400
  8. 270
  9. 400
  10. 168
  11. 24
  12. 592
  13. 486
  14. 40
  15. 294
  16. 30
  17. 264
  18. 148
  19. 900
  20. 112
  21. 54
  22. 88
  23. 1198
  24. 2197
  25. 8316
  26. 150
  27. 1728
  28. 1014
  29. 27
  30. 572
  31. 2744
  32. 12
  33. 42
  34. 704
  35. 632
  36. 1350
  37. 96
  38. 922
  39. 476
  40. 660

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