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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 224 · 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 15 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  2. 2.A closed box is 13 cm long, 10 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  3. 3.A box is 19 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
  4. 4.A cylinder has a radius of 14 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.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)?
  6. 6.A closed box is 17 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  7. 7.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  8. 8.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  9. 9.A closed box is 4 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  10. 10.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)?
  11. 11.A fish tank is 80 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.A box is 19 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
  13. 13.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 12 cm?
  14. 14.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 18 cm?
  15. 15.A box is 16 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
  16. 16.A box is 12 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  17. 17.A fish tank is 70 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.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)?
  19. 19.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A closed box is 9 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  21. 21.A closed box is 18 cm long, 9 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  22. 22.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
  23. 23.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  24. 24.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  25. 25.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  26. 26.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  27. 27.A closed box is 4 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  28. 28.A box is 4 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
  29. 29.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 4 cm?
  30. 30.A pipe (a cylinder) has a radius of 8 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.A fish tank is 30 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A closed box is 6 cm long, 14 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  33. 33.A pipe (a cylinder) has a radius of 14 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A box is 3 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 12 cm × 12 cm?
  36. 36.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 6 cm × 12 cm?
  38. 38.A closed box is 9 cm long, 13 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  39. 39.A box is 17 cm long, 10 cm wide and 8 cm high. What is its volume (in cubic cm)?
  40. 40.A cube has an edge of 2 cm. What is its volume (in cubic cm)?

Answer key

  1. 502
  2. 490
  3. 1482
  4. 5544
  5. 484
  6. 422
  7. 2197
  8. 2772
  9. 328
  10. 1694
  11. 192
  12. 2926
  13. 60
  14. 108
  15. 1680
  16. 396
  17. 63
  18. 2926
  19. 440
  20. 606
  21. 756
  22. 216
  23. 24948
  24. 1176
  25. 54
  26. 726
  27. 148
  28. 144
  29. 30
  30. 704
  31. 63
  32. 368
  33. 176
  34. 12
  35. 32
  36. 1848
  37. 108
  38. 630
  39. 1360
  40. 8

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