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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 356 · 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 closed box is 19 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  2. 2.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  3. 3.A pipe (a cylinder) has a radius of 7 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.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)?
  5. 5.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  6. 6.A fish tank is 90 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.A fish tank is 100 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A box is 13 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  9. 9.A fish tank is 80 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A closed box is 7 cm long, 6 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  11. 11.A box is 5 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
  12. 12.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 6 cm × 8 cm?
  13. 13.A fish tank is 60 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.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)?
  15. 15.A closed box is 3 cm long, 15 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  16. 16.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 24 cm?
  17. 17.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  18. 18.A fish tank is 100 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A box is 16 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
  20. 20.A fish tank is 30 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A closed box is 7 cm long, 10 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  23. 23.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  24. 24.A closed box is 19 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  25. 25.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 24 cm × 20 cm?
  26. 26.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)?
  27. 27.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  28. 28.A box is 7 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
  29. 29.A box is 19 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
  30. 30.A fish tank is 40 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A box is 16 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
  32. 32.A box is 15 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  33. 33.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  35. 35.A box is 10 cm long, 3 cm wide and 4 cm high. What is its volume (in cubic cm)?
  36. 36.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)?
  37. 37.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)?
  38. 38.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)?
  39. 39.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  40. 40.A cube has an edge of 5 cm. What is its volume (in cubic cm)?

Answer key

  1. 574
  2. 352
  3. 880
  4. 24948
  5. 64
  6. 135
  7. 1000
  8. 195
  9. 120
  10. 266
  11. 250
  12. 72
  13. 480
  14. 19404
  15. 414
  16. 36
  17. 3375
  18. 270
  19. 384
  20. 216
  21. 308
  22. 514
  23. 5544
  24. 1014
  25. 60
  26. 1584
  27. 864
  28. 224
  29. 1330
  30. 224
  31. 640
  32. 240
  33. 1144
  34. 1014
  35. 120
  36. 1056
  37. 1232
  38. 18018
  39. 1000
  40. 125

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