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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 401 · 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 50 cm long, 30 cm wide and 40 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 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A closed box is 5 cm long, 12 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  4. 4.A closed box is 6 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  5. 5.A fish tank is 100 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A box is 15 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
  7. 7.A fish tank is 30 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  9. 9.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  10. 10.A closed box is 11 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  11. 11.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A box is 20 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
  13. 13.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 12 cm × 12 cm?
  15. 15.A fish tank is 110 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A pipe (a cylinder) has a radius of 14 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  18. 18.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  19. 19.A box is 10 cm long, 11 cm wide and 5 cm high. What is its volume (in cubic cm)?
  20. 20.A box is 5 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  21. 21.A box is 5 cm long, 15 cm wide and 9 cm high. What is its volume (in cubic cm)?
  22. 22.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 25 cm?
  23. 23.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  24. 24.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  25. 25.A fish tank is 120 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A fish tank is 30 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.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)?
  28. 28.A closed box is 8 cm long, 15 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  29. 29.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A fish tank is 70 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A box is 13 cm long, 14 cm wide and 8 cm high. What is its volume (in cubic cm)?
  33. 33.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 4 cm?
  36. 36.A fish tank is 30 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A closed box is 6 cm long, 13 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  38. 38.A box is 20 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
  39. 39.A box is 18 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?
  40. 40.A fish tank is 50 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 60
  2. 5544
  3. 358
  4. 438
  5. 640
  6. 540
  7. 42
  8. 600
  9. 88
  10. 494
  11. 3080
  12. 800
  13. 1320
  14. 54
  15. 770
  16. 176
  17. 8
  18. 27
  19. 550
  20. 110
  21. 675
  22. 20
  23. 2197
  24. 96
  25. 180
  26. 108
  27. 8624
  28. 746
  29. 2310
  30. 196
  31. 748
  32. 1456
  33. 22176
  34. 1584
  35. 20
  36. 270
  37. 384
  38. 280
  39. 936
  40. 70

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