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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 456 · 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 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.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)?
  3. 3.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  4. 4.A fish tank is 120 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  6. 6.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.A fish tank is 90 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.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)?
  9. 9.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  10. 10.A box is 6 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
  11. 11.A pipe (a cylinder) has a radius of 4 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.A fish tank is 50 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A box is 6 cm long, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?
  15. 15.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 20 cm?
  16. 16.A fish tank is 110 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A fish tank is 100 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  19. 19.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  20. 20.A fish tank is 50 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A fish tank is 30 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 12 cm?
  23. 23.A closed box is 14 cm long, 8 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  24. 24.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  25. 25.A box is 6 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  26. 26.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)?
  27. 27.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.A box is 7 cm long, 13 cm wide and 5 cm high. What is its volume (in cubic cm)?
  29. 29.A closed box is 8 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  30. 30.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.A box is 9 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
  32. 32.A closed box is 3 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  33. 33.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  34. 34.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.A closed box is 17 cm long, 11 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  36. 36.A fish tank is 30 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.A closed box is 19 cm long, 14 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  39. 39.A box is 20 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
  40. 40.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 12 cm?

Answer key

  1. 4312
  2. 264
  3. 54
  4. 144
  5. 729
  6. 352
  7. 180
  8. 176
  9. 216
  10. 648
  11. 352
  12. 75
  13. 27720
  14. 360
  15. 75
  16. 660
  17. 420
  18. 24
  19. 8
  20. 180
  21. 90
  22. 72
  23. 752
  24. 726
  25. 132
  26. 176
  27. 308
  28. 455
  29. 450
  30. 176
  31. 288
  32. 192
  33. 1000
  34. 22176
  35. 766
  36. 144
  37. 308
  38. 1258
  39. 2160
  40. 36

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