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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 278 · 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 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A box is 6 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?
  3. 3.A closed box is 12 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  4. 4.A box is 11 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  5. 5.A closed box is 17 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  6. 6.A fish tank is 30 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 15 cm × 15 cm?
  8. 8.A box is 3 cm long, 6 cm wide and 11 cm high. What is its volume (in cubic cm)?
  9. 9.A fish tank is 100 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  11. 11.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A closed box is 8 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  13. 13.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.A fish tank is 50 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A box is 8 cm long, 5 cm wide and 11 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 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A cylinder has a radius of 14 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  19. 19.A box is 9 cm long, 8 cm wide and 2 cm high. What is its volume (in cubic cm)?
  20. 20.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  21. 21.A closed box is 17 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  22. 22.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 15 cm × 30 cm?
  23. 23.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  24. 24.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  25. 25.A box is 4 cm long, 13 cm wide and 3 cm high. What is its volume (in cubic cm)?
  26. 26.A fish tank is 40 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A fish tank is 40 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  29. 29.A box is 7 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
  30. 30.A box is 4 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
  31. 31.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  32. 32.A fish tank is 90 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A box is 7 cm long, 7 cm wide and 12 cm high. What is its volume (in cubic cm)?
  35. 35.A fish tank is 30 cm long, 50 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A closed box is 9 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  37. 37.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  38. 38.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  39. 39.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.A cube has an edge of 15 cm. What is its volume (in cubic cm)?

Answer key

  1. 132
  2. 312
  3. 548
  4. 242
  5. 262
  6. 45
  7. 100
  8. 198
  9. 200
  10. 150
  11. 1386
  12. 210
  13. 16632
  14. 10472
  15. 40
  16. 440
  17. 792
  18. 11088
  19. 144
  20. 1331
  21. 610
  22. 54
  23. 2197
  24. 600
  25. 156
  26. 256
  27. 48
  28. 726
  29. 245
  30. 128
  31. 2002
  32. 810
  33. 27720
  34. 588
  35. 90
  36. 528
  37. 1014
  38. 64
  39. 19404
  40. 3375

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