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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 579 · 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 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A closed box is 16 cm long, 15 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  3. 3.A closed box is 12 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  4. 4.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  6. 6.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)?
  7. 7.A fish tank is 80 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A closed box is 4 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  9. 9.A cube has an edge of 13 cm. What is its total surface area (in sq 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 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.A fish tank is 60 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A closed box is 16 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  14. 14.A box is 9 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
  15. 15.A fish tank is 50 cm long, 30 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 4 cm long, 10 cm wide and 2 cm high. What is its volume (in cubic cm)?
  17. 17.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)?
  18. 18.A closed box is 10 cm long, 4 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  19. 19.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  20. 20.A fish tank is 90 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A box is 7 cm long, 6 cm wide and 8 cm high. What is its volume (in cubic cm)?
  23. 23.A box is 6 cm long, 12 cm wide and 5 cm high. What is its volume (in cubic cm)?
  24. 24.A box is 9 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
  25. 25.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)?
  26. 26.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 12 cm?
  27. 27.A fish tank is 60 cm long, 20 cm wide and 100 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 9 cm. What is its volume (in cubic cm)?
  29. 29.A cylinder has a radius of 14 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A box is 16 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  31. 31.A closed box is 20 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  32. 32.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  33. 33.A closed box is 5 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  34. 34.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 30 cm?
  35. 35.A fish tank is 30 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A box is 7 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
  37. 37.A fish tank is 90 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A box is 5 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
  39. 39.A fish tank is 80 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A pipe (a cylinder) has a radius of 4 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 23562
  2. 666
  3. 320
  4. 7392
  5. 294
  6. 1694
  7. 256
  8. 112
  9. 1014
  10. 216
  11. 1056
  12. 72
  13. 622
  14. 1089
  15. 30
  16. 80
  17. 352
  18. 248
  19. 512
  20. 432
  21. 770
  22. 336
  23. 360
  24. 270
  25. 18018
  26. 45
  27. 120
  28. 729
  29. 4928
  30. 480
  31. 580
  32. 24
  33. 78
  34. 36
  35. 135
  36. 315
  37. 648
  38. 540
  39. 448
  40. 352

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