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Volume and Surface Area Worksheet

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

Answer key

  1. 540
  2. 220
  3. 384
  4. 826
  5. 11088
  6. 286
  7. 352
  8. 36
  9. 152
  10. 1386
  11. 120
  12. 132
  13. 60
  14. 180
  15. 216
  16. 1232
  17. 2160
  18. 320
  19. 792
  20. 150
  21. 64
  22. 198
  23. 422
  24. 96
  25. 704
  26. 729
  27. 192
  28. 704
  29. 88
  30. 216
  31. 352
  32. 600
  33. 66
  34. 390
  35. 100
  36. 656
  37. 210
  38. 474
  39. 1062
  40. 378

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