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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 503 · 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 8 cm long, 9 cm wide and 5 cm high. What is its volume (in cubic cm)?
  2. 2.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 15 cm?
  3. 3.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  4. 4.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  5. 5.A box is 18 cm long, 5 cm wide and 9 cm high. What is its volume (in cubic cm)?
  6. 6.A box is 5 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
  7. 7.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  8. 8.A box is 13 cm long, 13 cm wide and 3 cm high. What is its volume (in cubic cm)?
  9. 9.A closed box is 8 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  10. 10.A fish tank is 30 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.A fish tank is 30 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.A pipe (a cylinder) has a radius of 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  13. 13.A closed box is 19 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  14. 14.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 12 cm?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 12 cm?
  16. 16.A closed box is 6 cm long, 15 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  17. 17.A closed box is 19 cm long, 3 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  18. 18.A fish tank is 90 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A box is 18 cm long, 15 cm wide and 12 cm high. What is its volume (in cubic cm)?
  21. 21.A box is 4 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
  22. 22.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 6 cm?
  23. 23.A closed box is 7 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  24. 24.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 6 cm?
  25. 25.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)?
  26. 26.A closed box is 12 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  27. 27.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  28. 28.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 25 cm?
  29. 29.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 12 cm?
  30. 30.A box is 9 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  31. 31.A box is 19 cm long, 14 cm wide and 6 cm high. What is its volume (in cubic cm)?
  32. 32.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)?
  33. 33.A fish tank is 120 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A fish tank is 60 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A closed box is 6 cm long, 11 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  37. 37.A closed box is 19 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  38. 38.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  39. 39.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 360
  2. 120
  3. 64
  4. 2197
  5. 810
  6. 200
  7. 3375
  8. 507
  9. 160
  10. 72
  11. 54
  12. 880
  13. 466
  14. 60
  15. 24
  16. 306
  17. 554
  18. 729
  19. 440
  20. 3240
  21. 432
  22. 60
  23. 238
  24. 12
  25. 8624
  26. 160
  27. 7392
  28. 20
  29. 24
  30. 90
  31. 1596
  32. 5544
  33. 120
  34. 300
  35. 616
  36. 472
  37. 622
  38. 1350
  39. 1232
  40. 1672

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