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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 104 · 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 cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  3. 3.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 10 cm?
  4. 4.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A box is 20 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
  6. 6.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)?
  7. 7.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)?
  8. 8.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  9. 9.A fish tank is 30 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A closed box is 10 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  12. 12.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)?
  13. 13.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)?
  14. 14.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  15. 15.A fish tank is 120 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.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)?
  17. 17.A closed box is 19 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  18. 18.A closed box is 6 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  19. 19.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 30 cm?
  20. 20.A pipe (a cylinder) has a radius of 14 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.A fish tank is 110 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A closed box is 17 cm long, 7 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  23. 23.A box is 15 cm long, 11 cm wide and 3 cm high. What is its volume (in cubic cm)?
  24. 24.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  26. 26.A fish tank is 90 cm long, 70 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  28. 28.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)?
  29. 29.A closed box is 6 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  30. 30.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  31. 31.A closed box is 5 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  32. 32.A fish tank is 90 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A box is 19 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  34. 34.A fish tank is 90 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A closed box is 19 cm long, 12 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  36. 36.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  37. 37.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  38. 38.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 20 cm × 10 cm?
  39. 39.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.A box is 7 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?

Answer key

  1. 18018
  2. 8
  3. 20
  4. 10472
  5. 240
  6. 1056
  7. 2772
  8. 125
  9. 135
  10. 3080
  11. 280
  12. 462
  13. 1408
  14. 1014
  15. 540
  16. 13860
  17. 290
  18. 88
  19. 36
  20. 176
  21. 220
  22. 574
  23. 495
  24. 616
  25. 384
  26. 630
  27. 2197
  28. 440
  29. 128
  30. 343
  31. 132
  32. 180
  33. 285
  34. 900
  35. 952
  36. 726
  37. 150
  38. 16
  39. 1320
  40. 70

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