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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 138 · 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 14 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  2. 2.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 9 cm?
  3. 3.A pipe (a cylinder) has a radius of 14 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 6 cm?
  5. 5.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  6. 6.A cylinder has a radius of 14 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.A box is 14 cm long, 8 cm wide and 10 cm high. What is its volume (in cubic cm)?
  8. 8.A closed box is 14 cm long, 3 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  9. 9.A closed box is 11 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  10. 10.A fish tank is 30 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 20 cm × 25 cm?
  12. 12.A closed box is 10 cm long, 10 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  13. 13.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  14. 14.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.A fish tank is 30 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A box is 6 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  17. 17.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  18. 18.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 24 cm?
  19. 19.A pipe (a cylinder) has a radius of 14 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A box is 7 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  21. 21.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 10 cm?
  22. 22.A box is 10 cm long, 15 cm wide and 9 cm high. What is its volume (in cubic cm)?
  23. 23.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  24. 24.A fish tank is 110 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A closed box is 14 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  26. 26.A closed box is 4 cm long, 15 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  27. 27.A closed box is 3 cm long, 14 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  28. 28.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 12 cm × 12 cm?
  29. 29.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 8 cm?
  30. 30.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)?
  31. 31.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)?
  32. 32.A closed box is 3 cm long, 8 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  33. 33.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 8 cm?
  34. 34.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)?
  35. 35.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 10 cm?
  36. 36.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 20 cm?
  37. 37.A fish tank is 50 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A box is 6 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
  39. 39.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)?
  40. 40.A box is 14 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?

Answer key

  1. 322
  2. 24
  3. 264
  4. 36
  5. 1331
  6. 4928
  7. 1120
  8. 288
  9. 252
  10. 144
  11. 40
  12. 280
  13. 64
  14. 11704
  15. 180
  16. 48
  17. 216
  18. 72
  19. 968
  20. 140
  21. 50
  22. 1350
  23. 729
  24. 132
  25. 856
  26. 348
  27. 390
  28. 45
  29. 120
  30. 6776
  31. 88
  32. 202
  33. 16
  34. 352
  35. 30
  36. 48
  37. 70
  38. 144
  39. 352
  40. 112

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