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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 141 · 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 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A closed box is 11 cm long, 12 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  3. 3.A fish tank is 80 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 4 cm?
  5. 5.A closed box is 6 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  6. 6.A fish tank is 40 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A closed box is 19 cm long, 12 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  8. 8.A box is 4 cm long, 3 cm wide and 9 cm high. What is its volume (in cubic cm)?
  9. 9.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  10. 10.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  11. 11.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  12. 12.A fish tank is 40 cm long, 50 cm wide and 20 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 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A closed box is 20 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  15. 15.A cylinder has a radius of 14 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A pipe (a cylinder) has a radius of 14 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A fish tank is 100 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A box is 14 cm long, 8 cm wide and 8 cm high. What is its volume (in cubic cm)?
  19. 19.A fish tank is 30 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 10 cm?
  21. 21.A box is 12 cm long, 6 cm wide and 11 cm high. What is its volume (in cubic cm)?
  22. 22.A fish tank is 70 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 12 cm × 8 cm?
  24. 24.A closed box is 17 cm long, 3 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  25. 25.A closed box is 3 cm long, 10 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  26. 26.A fish tank is 40 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A fish tank is 110 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.A closed box is 9 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  30. 30.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  31. 31.A box is 12 cm long, 9 cm wide and 12 cm high. What is its volume (in cubic cm)?
  32. 32.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)?
  33. 33.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A pipe (a cylinder) has a radius of 7 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 12 cm × 4 cm?
  36. 36.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  37. 37.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  38. 38.A closed box is 11 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  39. 39.A box is 19 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  40. 40.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 88
  2. 540
  3. 648
  4. 48
  5. 378
  6. 180
  7. 1200
  8. 108
  9. 264
  10. 384
  11. 726
  12. 40
  13. 8316
  14. 820
  15. 8008
  16. 440
  17. 200
  18. 896
  19. 126
  20. 40
  21. 792
  22. 224
  23. 30
  24. 182
  25. 164
  26. 80
  27. 154
  28. 1232
  29. 398
  30. 512
  31. 1296
  32. 24948
  33. 704
  34. 440
  35. 60
  36. 1014
  37. 486
  38. 252
  39. 190
  40. 264

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