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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 56 · 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 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  3. 3.A closed box is 11 cm long, 10 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  4. 4.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  5. 5.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  6. 6.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  7. 7.A box is 10 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
  8. 8.A fish tank is 40 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.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)?
  10. 10.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 12 cm × 9 cm?
  11. 11.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 20 cm × 15 cm?
  12. 12.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  13. 13.A fish tank is 70 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A fish tank is 40 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.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)?
  16. 16.A closed box is 16 cm long, 12 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  17. 17.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)?
  18. 18.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 10 cm?
  19. 19.A box is 13 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
  20. 20.A fish tank is 70 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.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)?
  22. 22.A fish tank is 120 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A fish tank is 120 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A fish tank is 80 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A fish tank is 100 cm long, 40 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A box is 9 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
  27. 27.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
  28. 28.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.A box is 15 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
  30. 30.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)?
  31. 31.A closed box is 10 cm long, 8 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  32. 32.A fish tank is 50 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A pipe (a cylinder) has a radius of 14 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A box is 12 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  35. 35.A closed box is 4 cm long, 6 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  36. 36.A box is 13 cm long, 14 cm wide and 8 cm high. What is its volume (in cubic cm)?
  37. 37.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  38. 38.A fish tank is 120 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A fish tank is 80 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 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 968
  2. 343
  3. 388
  4. 220
  5. 150
  6. 1350
  7. 280
  8. 64
  9. 1760
  10. 60
  11. 48
  12. 3375
  13. 560
  14. 72
  15. 16632
  16. 944
  17. 1694
  18. 60
  19. 780
  20. 42
  21. 22176
  22. 384
  23. 108
  24. 288
  25. 400
  26. 126
  27. 8
  28. 264
  29. 600
  30. 1232
  31. 304
  32. 105
  33. 968
  34. 528
  35. 228
  36. 1456
  37. 176
  38. 240
  39. 720
  40. 2464

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