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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 128 · 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 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A closed box is 6 cm long, 15 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  4. 4.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)?
  5. 5.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A pipe (a cylinder) has a radius of 7 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  8. 8.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)?
  9. 9.A box is 16 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
  10. 10.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  11. 11.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.A box is 11 cm long, 6 cm wide and 12 cm high. What is its volume (in cubic cm)?
  13. 13.A fish tank is 80 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A closed box is 9 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  15. 15.A closed box is 16 cm long, 9 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  16. 16.A box is 5 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
  17. 17.A pipe (a cylinder) has a radius of 7 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A box is 7 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  19. 19.A cylinder has a radius of 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.A closed box is 5 cm long, 4 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  21. 21.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)?
  22. 22.A fish tank is 70 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A closed box is 3 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 4 cm. What is its volume (in cubic cm)?
  25. 25.A box is 19 cm long, 7 cm wide and 7 cm high. What is its volume (in cubic cm)?
  26. 26.A fish tank is 30 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A box is 7 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
  28. 28.A fish tank is 110 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A box is 8 cm long, 4 cm wide and 10 cm high. What is its volume (in cubic cm)?
  30. 30.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A closed box is 17 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  32. 32.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 25 cm × 15 cm?
  33. 33.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)?
  34. 34.A box is 3 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
  35. 35.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 16 cm × 20 cm?
  36. 36.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 12 cm × 6 cm?
  38. 38.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 12 cm?
  39. 39.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  40. 40.A closed box is 18 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 24948
  2. 8624
  3. 306
  4. 462
  5. 11704
  6. 88
  7. 512
  8. 308
  9. 768
  10. 216
  11. 1584
  12. 792
  13. 216
  14. 80
  15. 688
  16. 300
  17. 836
  18. 105
  19. 11088
  20. 148
  21. 440
  22. 84
  23. 312
  24. 64
  25. 931
  26. 108
  27. 420
  28. 231
  29. 320
  30. 1694
  31. 472
  32. 90
  33. 176
  34. 150
  35. 60
  36. 2464
  37. 40
  38. 32
  39. 1000
  40. 352

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