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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 244 · 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 fish tank is 110 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 20 cm?
  4. 4.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  5. 5.A closed box is 9 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  6. 6.A closed box is 17 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  7. 7.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)
  8. 8.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)?
  9. 9.A closed box is 11 cm long, 5 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  10. 10.A closed box is 5 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  11. 11.A fish tank is 70 cm long, 20 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.A box is 15 cm long, 14 cm wide and 8 cm high. What is its volume (in cubic cm)?
  13. 13.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)?
  14. 14.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 8 cm?
  15. 15.A closed box is 18 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  16. 16.A closed box is 14 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  17. 17.A closed box is 16 cm long, 3 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  18. 18.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)?
  19. 19.A box is 4 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
  20. 20.A closed box is 3 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  21. 21.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)?
  22. 22.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A closed box is 7 cm long, 15 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  24. 24.A closed box is 19 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  25. 25.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.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)?
  27. 27.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)?
  28. 28.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 10 cm?
  29. 29.A closed box is 3 cm long, 11 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  30. 30.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 12 cm × 24 cm?
  31. 31.A box is 6 cm long, 2 cm wide and 7 cm high. What is its volume (in cubic cm)?
  32. 32.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A closed box is 5 cm long, 9 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  34. 34.A fish tank is 50 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.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)?
  36. 36.A closed box is 10 cm long, 11 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  37. 37.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 10 cm?
  38. 38.A closed box is 3 cm long, 12 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  39. 39.A closed box is 8 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  40. 40.A closed box is 20 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 231
  2. 2464
  3. 60
  4. 88
  5. 300
  6. 662
  7. 108
  8. 18018
  9. 206
  10. 270
  11. 112
  12. 1680
  13. 616
  14. 80
  15. 552
  16. 186
  17. 362
  18. 352
  19. 420
  20. 302
  21. 1056
  22. 924
  23. 738
  24. 474
  25. 3080
  26. 1386
  27. 23562
  28. 24
  29. 290
  30. 90
  31. 84
  32. 220
  33. 370
  34. 70
  35. 264
  36. 304
  37. 45
  38. 402
  39. 288
  40. 564

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