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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 268 · 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 pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A fish tank is 50 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  5. 5.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)?
  6. 6.A fish tank is 110 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A pipe (a cylinder) has a radius of 14 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.A box is 17 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
  10. 10.A fish tank is 100 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.A closed box is 17 cm long, 12 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  12. 12.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  13. 13.A closed box is 4 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  14. 14.A box is 9 cm long, 13 cm wide and 8 cm high. What is its volume (in cubic cm)?
  15. 15.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  16. 16.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.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)?
  18. 18.A closed box is 6 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  19. 19.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  20. 20.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.A fish tank is 70 cm long, 100 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A closed box is 19 cm long, 7 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  23. 23.A fish tank is 40 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A box is 5 cm long, 13 cm wide and 11 cm high. What is its volume (in cubic cm)?
  25. 25.A box is 5 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  26. 26.A box is 5 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  27. 27.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 8 cm?
  28. 28.A box is 7 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
  29. 29.A fish tank is 50 cm long, 30 cm wide and 70 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, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 10 cm?
  32. 32.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A box is 18 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
  34. 34.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 10 cm?
  36. 36.A box is 10 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
  37. 37.A box is 13 cm long, 13 cm wide and 3 cm high. What is its volume (in cubic cm)?
  38. 38.A box is 4 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  39. 39.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 6 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. 572
  2. 2310
  3. 150
  4. 24
  5. 176
  6. 528
  7. 1056
  8. 440
  9. 510
  10. 360
  11. 988
  12. 864
  13. 160
  14. 936
  15. 8
  16. 1760
  17. 792
  18. 198
  19. 216
  20. 220
  21. 630
  22. 682
  23. 72
  24. 715
  25. 150
  26. 45
  27. 12
  28. 84
  29. 105
  30. 48
  31. 12
  32. 396
  33. 2178
  34. 5544
  35. 75
  36. 270
  37. 507
  38. 40
  39. 36
  40. 660

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