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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 360 · 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 4 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  2. 2.A closed box is 13 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  3. 3.A closed box is 15 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  4. 4.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A closed box is 17 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  6. 6.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)?
  7. 7.A closed box is 18 cm long, 12 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  8. 8.A box is 3 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
  9. 9.A fish tank is 120 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A closed box is 9 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  12. 12.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  13. 13.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
  14. 14.A box is 7 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  15. 15.A closed box is 18 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  16. 16.A fish tank is 30 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 24 cm?
  18. 18.A fish tank is 40 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  21. 21.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A box is 18 cm long, 11 cm wide and 7 cm high. What is its volume (in cubic cm)?
  23. 23.A fish tank is 90 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  26. 26.A closed box is 10 cm long, 12 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  27. 27.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.A fish tank is 120 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 10 cm?
  31. 31.A pipe (a cylinder) has a radius of 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A closed box is 20 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  33. 33.A closed box is 19 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  34. 34.A closed box is 3 cm long, 11 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  35. 35.A cylinder has a radius of 7 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A closed box is 20 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  37. 37.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 8 cm × 8 cm?
  38. 38.A box is 20 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
  39. 39.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  40. 40.A box is 20 cm long, 11 cm wide and 9 cm high. What is its volume (in cubic cm)?

Answer key

  1. 220
  2. 174
  3. 838
  4. 308
  5. 522
  6. 1584
  7. 732
  8. 78
  9. 672
  10. 6160
  11. 594
  12. 440
  13. 216
  14. 350
  15. 472
  16. 54
  17. 108
  18. 32
  19. 9240
  20. 384
  21. 484
  22. 1386
  23. 270
  24. 1760
  25. 24
  26. 768
  27. 748
  28. 8624
  29. 336
  30. 60
  31. 484
  32. 626
  33. 244
  34. 346
  35. 1848
  36. 650
  37. 20
  38. 700
  39. 216
  40. 1980

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