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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 6 · 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 5 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  2. 2.A fish tank is 90 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 8 cm?
  5. 5.A box is 16 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
  6. 6.A fish tank is 30 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 8 cm?
  9. 9.A box is 14 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
  10. 10.A fish tank is 50 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.A closed box is 15 cm long, 9 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  12. 12.A closed box is 13 cm long, 6 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  13. 13.A fish tank is 80 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  16. 16.A fish tank is 50 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A closed box is 15 cm long, 9 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  18. 18.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  19. 19.A fish tank is 30 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  21. 21.A closed box is 18 cm long, 5 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  22. 22.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.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)?
  24. 24.A fish tank is 40 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.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)?
  26. 26.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 6 cm?
  27. 27.A box is 7 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
  28. 28.A closed box is 4 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  29. 29.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  30. 30.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  31. 31.A fish tank is 120 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A closed box is 5 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  33. 33.A box is 19 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
  34. 34.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 10 cm?
  35. 35.A cylinder has a radius of 7 cm and a height of 11 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 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.A closed box is 16 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  38. 38.A box is 16 cm long, 14 cm wide and 7 cm high. What is its volume (in cubic cm)?
  39. 39.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)?
  40. 40.A box is 18 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?

Answer key

  1. 94
  2. 315
  3. 2618
  4. 48
  5. 1440
  6. 120
  7. 462
  8. 48
  9. 672
  10. 400
  11. 606
  12. 612
  13. 480
  14. 396
  15. 1331
  16. 100
  17. 462
  18. 19404
  19. 60
  20. 2744
  21. 318
  22. 23562
  23. 88
  24. 72
  25. 440
  26. 20
  27. 252
  28. 418
  29. 864
  30. 2197
  31. 252
  32. 230
  33. 855
  34. 120
  35. 1694
  36. 9856
  37. 1054
  38. 1568
  39. 176
  40. 324

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