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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 304 · 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 10 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  2. 2.A fish tank is 100 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 25 cm?
  5. 5.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
  7. 7.A box is 20 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
  8. 8.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 12 cm?
  10. 10.A pipe (a cylinder) has a radius of 7 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A closed box is 10 cm long, 14 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  12. 12.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  13. 13.A box is 15 cm long, 2 cm wide and 3 cm high. What is its volume (in cubic cm)?
  14. 14.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 4 cm?
  16. 16.A fish tank is 100 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A box is 6 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
  18. 18.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  19. 19.A closed box is 10 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  20. 20.A closed box is 6 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  21. 21.A fish tank is 70 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A cylinder has a radius of 14 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A fish tank is 60 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A closed box is 7 cm long, 5 cm wide and 12 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 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  27. 27.A fish tank is 50 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A fish tank is 110 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  30. 30.A cylinder has a radius of 21 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  32. 32.A fish tank is 80 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A closed box is 20 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  34. 34.A closed box is 8 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  35. 35.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)?
  36. 36.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 15 cm × 12 cm?
  37. 37.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 10 cm?
  38. 38.A box is 14 cm long, 12 cm wide and 2 cm high. What is its volume (in cubic cm)?
  39. 39.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  40. 40.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 112
  2. 240
  3. 44
  4. 90
  5. 176
  6. 8
  7. 360
  8. 1331
  9. 24
  10. 88
  11. 376
  12. 1672
  13. 90
  14. 1350
  15. 30
  16. 90
  17. 462
  18. 12474
  19. 636
  20. 504
  21. 441
  22. 8008
  23. 48
  24. 358
  25. 2926
  26. 8
  27. 160
  28. 440
  29. 125
  30. 6930
  31. 6776
  32. 216
  33. 448
  34. 366
  35. 22176
  36. 100
  37. 40
  38. 336
  39. 512
  40. 792

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