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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 578 · 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 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)?
  2. 2.A closed box is 14 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  3. 3.A fish tank is 110 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A fish tank is 110 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.A closed box is 14 cm long, 13 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  6. 6.A closed box is 17 cm long, 3 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  7. 7.A closed box is 9 cm long, 14 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  8. 8.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 6 cm?
  9. 9.A fish tank is 40 cm long, 60 cm wide and 40 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 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A box is 18 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
  12. 12.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 6 cm?
  13. 13.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)
  14. 14.A box is 20 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
  15. 15.A closed box is 17 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  16. 16.A pipe (a cylinder) has a radius of 14 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A fish tank is 100 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 12 cm?
  19. 19.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  21. 21.A fish tank is 50 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A box is 15 cm long, 4 cm wide and 10 cm high. What is its volume (in cubic cm)?
  23. 23.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)?
  24. 24.A closed box is 17 cm long, 6 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  25. 25.A box is 20 cm long, 5 cm wide and 11 cm high. What is its volume (in cubic cm)?
  26. 26.A pipe (a cylinder) has a radius of 4 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  27. 27.A fish tank is 80 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  29. 29.A closed box is 7 cm long, 3 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  30. 30.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 10 cm?
  31. 31.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  32. 32.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)
  33. 33.A closed box is 16 cm long, 14 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  34. 34.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  35. 35.A cylinder has a radius of 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.A box is 5 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  37. 37.A box is 14 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  38. 38.A pipe (a cylinder) has a radius of 7 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  39. 39.A pipe (a cylinder) has a radius of 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.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)?

Answer key

  1. 572
  2. 666
  3. 792
  4. 660
  5. 904
  6. 382
  7. 758
  8. 60
  9. 96
  10. 396
  11. 2772
  12. 30
  13. 588
  14. 560
  15. 990
  16. 440
  17. 120
  18. 96
  19. 19404
  20. 864
  21. 135
  22. 600
  23. 8008
  24. 480
  25. 1100
  26. 352
  27. 120
  28. 8
  29. 242
  30. 50
  31. 23562
  32. 770
  33. 1048
  34. 486
  35. 11088
  36. 250
  37. 420
  38. 176
  39. 968
  40. 352

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