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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 537 · 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 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A fish tank is 70 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A closed box is 4 cm long, 8 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  5. 5.A fish tank is 80 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  7. 7.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  8. 8.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)?
  9. 9.A box is 11 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
  10. 10.A pipe (a cylinder) has a radius of 7 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A fish tank is 110 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  12. 12.A fish tank is 100 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  15. 15.A closed box is 8 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  16. 16.A box is 11 cm long, 15 cm wide and 6 cm high. What is its volume (in cubic cm)?
  17. 17.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  18. 18.A box is 11 cm long, 13 cm wide and 8 cm high. What is its volume (in cubic cm)?
  19. 19.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)
  20. 20.A pipe (a cylinder) has a radius of 14 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 4 cm?
  22. 22.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  23. 23.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 12 cm × 15 cm?
  24. 24.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  25. 25.A closed box is 13 cm long, 3 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  26. 26.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)?
  27. 27.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  28. 28.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.A box is 16 cm long, 12 cm wide and 2 cm high. What is its volume (in cubic cm)?
  30. 30.A closed box is 11 cm long, 9 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  31. 31.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  32. 32.A fish tank is 50 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A closed box is 4 cm long, 10 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  34. 34.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)?
  35. 35.A fish tank is 100 cm long, 50 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A fish tank is 110 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.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)?
  38. 38.A box is 5 cm long, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?
  39. 39.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)?
  40. 40.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 6 cm?

Answer key

  1. 264
  2. 112
  3. 1760
  4. 280
  5. 288
  6. 1350
  7. 486
  8. 1144
  9. 1155
  10. 88
  11. 352
  12. 100
  13. 924
  14. 600
  15. 608
  16. 990
  17. 125
  18. 1144
  19. 120
  20. 264
  21. 72
  22. 64
  23. 80
  24. 343
  25. 302
  26. 1056
  27. 216
  28. 1144
  29. 384
  30. 318
  31. 512
  32. 50
  33. 360
  34. 880
  35. 300
  36. 44
  37. 176
  38. 300
  39. 396
  40. 45

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