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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 148 · 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 cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  2. 2.A fish tank is 30 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A fish tank is 90 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A fish tank is 110 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 25 cm × 15 cm?
  6. 6.A closed box is 13 cm long, 10 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  7. 7.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  8. 8.A closed box is 9 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  9. 9.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  10. 10.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 20 cm?
  11. 11.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  13. 13.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)?
  14. 14.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)?
  15. 15.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  16. 16.A box is 11 cm long, 11 cm wide and 5 cm high. What is its volume (in cubic cm)?
  17. 17.A box is 7 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  18. 18.A closed box is 16 cm long, 12 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  19. 19.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 8 cm?
  20. 20.A fish tank is 50 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A box is 18 cm long, 8 cm wide and 2 cm high. What is its volume (in cubic cm)?
  22. 22.A box is 13 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
  23. 23.A cylinder has a radius of 21 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  24. 24.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  25. 25.A box is 15 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  26. 26.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 9 cm?
  27. 27.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  28. 28.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)?
  29. 29.A fish tank is 110 cm long, 40 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  31. 31.A pipe (a cylinder) has a radius of 13 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 11 cm long, 13 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  33. 33.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)?
  34. 34.A fish tank is 120 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 6 cm?
  36. 36.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  37. 37.A box is 6 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
  38. 38.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  39. 39.A box is 15 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
  40. 40.A closed box is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 96
  2. 72
  3. 378
  4. 66
  5. 90
  6. 720
  7. 3375
  8. 318
  9. 150
  10. 48
  11. 528
  12. 864
  13. 24948
  14. 1848
  15. 1000
  16. 605
  17. 63
  18. 552
  19. 30
  20. 40
  21. 288
  22. 1014
  23. 15246
  24. 8624
  25. 270
  26. 72
  27. 216
  28. 968
  29. 440
  30. 384
  31. 572
  32. 574
  33. 2772
  34. 420
  35. 30
  36. 64
  37. 420
  38. 8
  39. 315
  40. 318

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