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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 453 · 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 5 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
  2. 2.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)?
  3. 3.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.A fish tank is 90 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.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)?
  7. 7.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)
  8. 8.A closed box is 20 cm long, 5 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  9. 9.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  10. 10.A closed box is 7 cm long, 7 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  11. 11.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  13. 13.A box is 14 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
  14. 14.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 4 cm?
  15. 15.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 9 cm?
  16. 16.A closed box is 4 cm long, 13 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 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  19. 19.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  20. 20.A box is 16 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
  21. 21.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  22. 22.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  23. 23.A closed box is 18 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  24. 24.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A closed box is 6 cm long, 9 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  26. 26.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 15 cm?
  27. 27.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 9 cm?
  28. 28.A fish tank is 50 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.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)?
  30. 30.A closed box is 9 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  31. 31.A fish tank is 50 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A closed box is 8 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  33. 33.A fish tank is 60 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  35. 35.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 20 cm?
  36. 36.A box is 5 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
  37. 37.A closed box is 7 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  38. 38.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)?
  39. 39.A box is 19 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
  40. 40.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 840
  2. 462
  3. 2156
  4. 648
  5. 440
  6. 1056
  7. 90
  8. 500
  9. 54
  10. 434
  11. 23562
  12. 512
  13. 1232
  14. 36
  15. 45
  16. 342
  17. 968
  18. 2772
  19. 1331
  20. 384
  21. 1000
  22. 729
  23. 1002
  24. 352
  25. 168
  26. 12
  27. 54
  28. 180
  29. 2772
  30. 446
  31. 50
  32. 160
  33. 120
  34. 294
  35. 75
  36. 125
  37. 262
  38. 396
  39. 342
  40. 9240

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