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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 158 · 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 40 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A fish tank is 120 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A closed box is 20 cm long, 11 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  4. 4.A fish tank is 40 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.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)?
  6. 6.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)
  7. 7.A closed box is 5 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  8. 8.A box is 15 cm long, 4 cm wide and 3 cm high. What is its volume (in cubic cm)?
  9. 9.A fish tank is 120 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A pipe (a cylinder) has a radius of 13 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A box is 12 cm long, 14 cm wide and 5 cm high. What is its volume (in cubic cm)?
  13. 13.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)?
  14. 14.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.A box is 13 cm long, 14 cm wide and 4 cm high. What is its volume (in cubic cm)?
  16. 16.A box is 19 cm long, 13 cm wide and 12 cm high. What is its volume (in cubic cm)?
  17. 17.A fish tank is 60 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A closed box is 7 cm long, 8 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  19. 19.A fish tank is 30 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A box is 9 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
  21. 21.A box is 5 cm long, 6 cm wide and 8 cm high. What is its volume (in cubic cm)?
  22. 22.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 24 cm × 12 cm?
  23. 23.A fish tank is 50 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.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)?
  25. 25.A box is 9 cm long, 13 cm wide and 5 cm high. What is its volume (in cubic cm)?
  26. 26.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  27. 27.A box is 11 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
  28. 28.A fish tank is 60 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A fish tank is 30 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A box is 4 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
  31. 31.A cylinder has a radius of 14 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  32. 32.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  33. 33.A fish tank is 50 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A pipe (a cylinder) has a radius of 13 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.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)?
  36. 36.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  37. 37.A box is 9 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  38. 38.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  39. 39.A fish tank is 120 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 120
  2. 336
  3. 564
  4. 24
  5. 88
  6. 400
  7. 150
  8. 180
  9. 504
  10. 572
  11. 2002
  12. 840
  13. 22176
  14. 308
  15. 728
  16. 2964
  17. 120
  18. 382
  19. 90
  20. 270
  21. 240
  22. 36
  23. 60
  24. 880
  25. 585
  26. 616
  27. 1287
  28. 324
  29. 18
  30. 432
  31. 1232
  32. 1331
  33. 40
  34. 1144
  35. 1320
  36. 352
  37. 180
  38. 125
  39. 1080
  40. 7392

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