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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 420 · 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 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A box is 12 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
  3. 3.A closed box is 19 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  4. 4.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)?
  5. 5.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 15 cm × 30 cm?
  6. 6.A box is 20 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
  7. 7.A fish tank is 120 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A box is 6 cm long, 12 cm wide and 8 cm high. What is its volume (in cubic cm)?
  9. 9.A cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A closed box is 6 cm long, 14 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  11. 11.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)?
  12. 12.A box is 14 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  13. 13.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)?
  14. 14.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  15. 15.A box is 14 cm long, 11 cm wide and 3 cm high. What is its volume (in cubic cm)?
  16. 16.A fish tank is 60 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A fish tank is 120 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  19. 19.A closed box is 13 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  20. 20.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 6 cm?
  21. 21.A pipe (a cylinder) has a radius of 12 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  23. 23.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  24. 24.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)?
  25. 25.A box is 5 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
  26. 26.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  27. 27.A box is 6 cm long, 5 cm wide and 11 cm high. What is its volume (in cubic cm)?
  28. 28.A fish tank is 40 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A fish tank is 60 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A box is 15 cm long, 4 cm wide and 12 cm high. What is its volume (in cubic cm)?
  31. 31.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  32. 32.A box is 10 cm long, 9 cm wide and 8 cm high. What is its volume (in cubic cm)?
  33. 33.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A closed box is 9 cm long, 12 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  35. 35.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A box is 20 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
  37. 37.A fish tank is 40 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 20 cm?

Answer key

  1. 880
  2. 504
  3. 370
  4. 264
  5. 90
  6. 1000
  7. 144
  8. 576
  9. 18018
  10. 368
  11. 616
  12. 224
  13. 5544
  14. 64
  15. 462
  16. 36
  17. 72
  18. 216
  19. 418
  20. 30
  21. 528
  22. 1000
  23. 1728
  24. 792
  25. 70
  26. 726
  27. 330
  28. 40
  29. 108
  30. 720
  31. 3375
  32. 720
  33. 22176
  34. 468
  35. 4312
  36. 320
  37. 64
  38. 616
  39. 88
  40. 24

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