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Volume and Surface Area Worksheet

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

Answer key

  1. 160
  2. 3375
  3. 1000
  4. 1000
  5. 50
  6. 110
  7. 1728
  8. 192
  9. 75
  10. 60
  11. 30
  12. 36
  13. 270
  14. 2744
  15. 231
  16. 382
  17. 20
  18. 1496
  19. 2926
  20. 286
  21. 294
  22. 550
  23. 30
  24. 100
  25. 136
  26. 168
  27. 1584
  28. 1318
  29. 770
  30. 1232
  31. 18018
  32. 550
  33. 600
  34. 342
  35. 8
  36. 2772
  37. 9856
  38. 420
  39. 160
  40. 264

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