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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 414 · 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 5 cm long, 10 cm wide and 2 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 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  3. 3.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 8 cm?
  4. 4.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 12 cm?
  5. 5.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)?
  6. 6.A cylinder has a radius of 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.A closed box is 11 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  8. 8.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 6 cm × 6 cm?
  9. 9.A box is 17 cm long, 15 cm wide and 3 cm high. What is its volume (in cubic cm)?
  10. 10.A box is 4 cm long, 9 cm wide and 7 cm high. What is its volume (in cubic cm)?
  11. 11.A closed box is 19 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  12. 12.A closed box is 5 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  13. 13.A fish tank is 60 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A fish tank is 60 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 cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 16 cm?
  18. 18.A closed box is 13 cm long, 11 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  19. 19.A fish tank is 30 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  21. 21.A fish tank is 80 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A closed box is 15 cm long, 14 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  23. 23.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)?
  24. 24.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  25. 25.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.A closed box is 10 cm long, 14 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  27. 27.A box is 19 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
  28. 28.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  29. 29.A box is 10 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
  30. 30.A box is 19 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
  31. 31.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)?
  32. 32.A closed box is 6 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  33. 33.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  34. 34.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 12 cm × 12 cm?
  35. 35.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  36. 36.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 24 cm?
  37. 37.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 12 cm?
  38. 38.A fish tank is 120 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A fish tank is 70 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A fish tank is 70 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 100
  2. 880
  3. 12
  4. 108
  5. 8008
  6. 11088
  7. 346
  8. 20
  9. 765
  10. 252
  11. 1078
  12. 368
  13. 60
  14. 120
  15. 2310
  16. 13860
  17. 24
  18. 526
  19. 36
  20. 4312
  21. 112
  22. 652
  23. 308
  24. 343
  25. 2464
  26. 808
  27. 1140
  28. 150
  29. 140
  30. 1140
  31. 352
  32. 108
  33. 3375
  34. 80
  35. 1232
  36. 72
  37. 60
  38. 972
  39. 210
  40. 441

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