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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 259 · 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 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  3. 3.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)?
  4. 4.A closed box is 20 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  5. 5.A box is 15 cm long, 10 cm wide and 8 cm high. What is its volume (in cubic cm)?
  6. 6.A box is 4 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
  7. 7.A box is 10 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
  8. 8.A box is 7 cm long, 14 cm wide and 8 cm high. What is its volume (in cubic cm)?
  9. 9.A box is 20 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
  10. 10.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  11. 11.A closed box is 10 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  12. 12.A pipe (a cylinder) has a radius of 7 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  13. 13.A fish tank is 40 cm long, 60 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.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)?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 4 cm?
  16. 16.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)?
  17. 17.A box is 14 cm long, 6 cm wide and 6 cm high. What is its volume (in cubic cm)?
  18. 18.A closed box is 7 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  19. 19.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A fish tank is 60 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A box is 15 cm long, 13 cm wide and 10 cm high. What is its volume (in cubic cm)?
  22. 22.A box is 19 cm long, 5 cm wide and 9 cm high. What is its volume (in cubic cm)?
  23. 23.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  24. 24.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  25. 25.A fish tank is 50 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.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)?
  27. 27.A box is 20 cm long, 10 cm wide and 9 cm high. What is its volume (in cubic cm)?
  28. 28.A closed box is 12 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  29. 29.A closed box is 6 cm long, 12 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  30. 30.A fish tank is 40 cm long, 80 cm wide and 60 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 20 cm × 15 cm × 25 cm?
  32. 32.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  33. 33.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A fish tank is 120 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  36. 36.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  37. 37.A pipe (a cylinder) has a radius of 8 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  38. 38.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)?
  39. 39.A fish tank is 60 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?

Answer key

  1. 3080
  2. 729
  3. 13860
  4. 1160
  5. 1200
  6. 60
  7. 160
  8. 784
  9. 1680
  10. 512
  11. 232
  12. 880
  13. 120
  14. 5544
  15. 40
  16. 1408
  17. 504
  18. 350
  19. 220
  20. 192
  21. 1950
  22. 855
  23. 96
  24. 3696
  25. 100
  26. 462
  27. 1800
  28. 402
  29. 504
  30. 192
  31. 60
  32. 864
  33. 12474
  34. 288
  35. 726
  36. 616
  37. 704
  38. 572
  39. 162
  40. 294

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