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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 346 · 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 3 cm. What is its volume (in cubic cm)?
  2. 2.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  3. 3.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
  4. 4.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 12 cm × 8 cm?
  5. 5.A closed box is 10 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  6. 6.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  7. 7.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 10 cm?
  8. 8.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  9. 9.A box is 12 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
  10. 10.A fish tank is 100 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  12. 12.A closed box is 5 cm long, 14 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  13. 13.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 12 cm × 9 cm?
  15. 15.A fish tank is 100 cm long, 60 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A box is 3 cm long, 4 cm wide and 10 cm high. What is its volume (in cubic cm)?
  17. 17.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  18. 18.A fish tank is 40 cm long, 60 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A fish tank is 100 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 9 cm × 12 cm?
  21. 21.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 16 cm × 16 cm?
  22. 22.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  23. 23.A fish tank is 70 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A fish tank is 70 cm long, 70 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  26. 26.A cylinder has a radius of 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  27. 27.A fish tank is 70 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  29. 29.A closed box is 10 cm long, 15 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  30. 30.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  32. 32.A fish tank is 100 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A closed box is 7 cm long, 9 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  34. 34.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 6 cm?
  35. 35.A fish tank is 90 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A closed box is 5 cm long, 12 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  37. 37.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 16 cm?
  38. 38.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  39. 39.A box is 17 cm long, 4 cm wide and 5 cm high. What is its volume (in cubic cm)?
  40. 40.A box is 10 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?

Answer key

  1. 27
  2. 64
  3. 8
  4. 120
  5. 628
  6. 294
  7. 50
  8. 24
  9. 324
  10. 400
  11. 600
  12. 292
  13. 1540
  14. 48
  15. 540
  16. 120
  17. 96
  18. 216
  19. 200
  20. 48
  21. 48
  22. 396
  23. 294
  24. 343
  25. 880
  26. 8316
  27. 140
  28. 3375
  29. 850
  30. 264
  31. 770
  32. 280
  33. 318
  34. 48
  35. 108
  36. 290
  37. 64
  38. 1331
  39. 340
  40. 100

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