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Volume and Surface Area Worksheet

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

Answer key

  1. 660
  2. 360
  3. 5544
  4. 2744
  5. 13860
  6. 206
  7. 288
  8. 125
  9. 7392
  10. 1408
  11. 456
  12. 90
  13. 250
  14. 1144
  15. 672
  16. 310
  17. 264
  18. 934
  19. 1014
  20. 8
  21. 1694
  22. 440
  23. 600
  24. 180
  25. 1960
  26. 72
  27. 444
  28. 11088
  29. 18
  30. 360
  31. 880
  32. 1350
  33. 792
  34. 1208
  35. 1440
  36. 40
  37. 36
  38. 30
  39. 282
  40. 836

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