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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 545 · 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 60 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 18 cm × 9 cm?
  3. 3.A closed box is 15 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  4. 4.A closed box is 9 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  5. 5.A box is 4 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
  6. 6.A closed box is 16 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  7. 7.A fish tank is 90 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  10. 10.A closed box is 18 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  11. 11.A box is 20 cm long, 13 cm wide and 5 cm high. What is its volume (in cubic cm)?
  12. 12.A closed box is 3 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  13. 13.A pipe (a cylinder) has a radius of 14 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.A fish tank is 60 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A closed box is 12 cm long, 11 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  16. 16.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A fish tank is 70 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A box is 14 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
  19. 19.A fish tank is 120 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  21. 21.A fish tank is 110 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.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)?
  23. 23.A closed box is 9 cm long, 8 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  24. 24.A closed box is 13 cm long, 6 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  25. 25.A box is 12 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  26. 26.A box is 18 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
  27. 27.A fish tank is 90 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A fish tank is 40 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A fish tank is 40 cm long, 60 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
  32. 32.A box is 7 cm long, 4 cm wide and 3 cm high. What is its volume (in cubic cm)?
  33. 33.A box is 10 cm long, 7 cm wide and 3 cm high. What is its volume (in cubic cm)?
  34. 34.A fish tank is 50 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 20 cm × 20 cm?
  36. 36.A box is 6 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
  37. 37.A fish tank is 50 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A cylinder has a radius of 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.A box is 13 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?
  40. 40.A fish tank is 70 cm long, 80 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 144
  2. 36
  3. 332
  4. 558
  5. 168
  6. 946
  7. 216
  8. 528
  9. 216
  10. 964
  11. 1300
  12. 62
  13. 1056
  14. 48
  15. 402
  16. 792
  17. 140
  18. 1260
  19. 1200
  20. 54
  21. 352
  22. 880
  23. 280
  24. 460
  25. 48
  26. 432
  27. 243
  28. 128
  29. 27720
  30. 120
  31. 8
  32. 84
  33. 210
  34. 400
  35. 64
  36. 468
  37. 90
  38. 9702
  39. 676
  40. 560

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