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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 499 · 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 fish tank is 110 cm long, 20 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A fish tank is 40 cm long, 50 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A closed box is 10 cm long, 14 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  4. 4.A closed box is 18 cm long, 6 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  5. 5.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  6. 6.A closed box is 13 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  7. 7.A box is 9 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  8. 8.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  9. 9.A fish tank is 100 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 6 cm?
  11. 11.A box is 17 cm long, 14 cm wide and 4 cm high. What is its volume (in cubic cm)?
  12. 12.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)?
  13. 13.A fish tank is 120 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A closed box is 5 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  15. 15.A closed box is 4 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  16. 16.A fish tank is 50 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A closed box is 4 cm long, 5 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  18. 18.A box is 9 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
  19. 19.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 15 cm?
  20. 20.A fish tank is 110 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A fish tank is 60 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  23. 23.A fish tank is 40 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A box is 10 cm long, 2 cm wide and 10 cm high. What is its volume (in cubic cm)?
  25. 25.A box is 10 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
  26. 26.A box is 7 cm long, 11 cm wide and 3 cm high. What is its volume (in cubic cm)?
  27. 27.A closed box is 18 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  28. 28.A fish tank is 70 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A box is 10 cm long, 11 cm wide and 6 cm high. What is its volume (in cubic cm)?
  30. 30.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  31. 31.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 20 cm × 15 cm?
  32. 32.A box is 10 cm long, 3 cm wide and 9 cm high. What is its volume (in cubic cm)?
  33. 33.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A fish tank is 90 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A fish tank is 100 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A closed box is 14 cm long, 14 cm wide and 10 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 12 cm × 16 cm × 20 cm?
  38. 38.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 6 cm?
  39. 39.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 12 cm?

Answer key

  1. 176
  2. 100
  3. 376
  4. 600
  5. 2197
  6. 172
  7. 270
  8. 294
  9. 500
  10. 36
  11. 952
  12. 352
  13. 576
  14. 94
  15. 94
  16. 75
  17. 112
  18. 198
  19. 18
  20. 88
  21. 432
  22. 512
  23. 144
  24. 200
  25. 900
  26. 231
  27. 320
  28. 245
  29. 660
  30. 1331
  31. 72
  32. 270
  33. 528
  34. 648
  35. 400
  36. 952
  37. 60
  38. 60
  39. 2618
  40. 36

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