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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 523 · 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 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)
  2. 2.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)?
  3. 3.A box is 13 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
  4. 4.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 12 cm × 6 cm?
  5. 5.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A fish tank is 40 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A fish tank is 90 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A fish tank is 110 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A box is 18 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
  11. 11.A fish tank is 110 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  13. 13.A closed box is 4 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  14. 14.A box is 12 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
  15. 15.A fish tank is 120 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A cylinder has a radius of 14 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  18. 18.A closed box is 12 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  19. 19.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  20. 20.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 15 cm?
  21. 21.A fish tank is 40 cm long, 100 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A box is 18 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
  23. 23.A fish tank is 80 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A closed box is 14 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  25. 25.A closed box is 11 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  26. 26.A closed box is 11 cm long, 14 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  27. 27.A box is 14 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  28. 28.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 25 cm × 15 cm?
  29. 29.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 6 cm?
  30. 30.A fish tank is 110 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A fish tank is 60 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  33. 33.A closed box is 5 cm long, 14 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  34. 34.A fish tank is 80 cm long, 100 cm wide and 60 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 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  37. 37.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.A fish tank is 120 cm long, 70 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A fish tank is 30 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A box is 16 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?

Answer key

  1. 243
  2. 9702
  3. 624
  4. 72
  5. 440
  6. 16
  7. 180
  8. 66
  9. 5544
  10. 900
  11. 1100
  12. 343
  13. 208
  14. 720
  15. 240
  16. 8008
  17. 125
  18. 104
  19. 8
  20. 90
  21. 400
  22. 1134
  23. 32
  24. 458
  25. 622
  26. 708
  27. 224
  28. 30
  29. 48
  30. 198
  31. 270
  32. 96
  33. 482
  34. 480
  35. 1694
  36. 216
  37. 16632
  38. 588
  39. 54
  40. 672

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