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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 450 · 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 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.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)?
  3. 3.A box is 4 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 25 cm × 30 cm?
  5. 5.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A pipe (a cylinder) has a radius of 7 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 6 cm?
  8. 8.A closed box is 19 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 10 cm?
  10. 10.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  12. 12.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  13. 13.A closed box is 7 cm long, 9 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  14. 14.A box is 11 cm long, 7 cm wide and 7 cm high. What is its volume (in cubic cm)?
  15. 15.A fish tank is 100 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  17. 17.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)?
  18. 18.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 9 cm?
  19. 19.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  20. 20.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 25 cm × 20 cm?
  21. 21.A fish tank is 70 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A closed box is 15 cm long, 6 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  23. 23.A closed box is 3 cm long, 6 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  24. 24.A box is 20 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  25. 25.A box is 20 cm long, 11 cm wide and 11 cm high. What is its volume (in cubic cm)?
  26. 26.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 30 cm?
  27. 27.A fish tank is 80 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A closed box is 7 cm long, 9 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  29. 29.A fish tank is 50 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A fish tank is 40 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A fish tank is 80 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A box is 13 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  33. 33.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)?
  34. 34.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)?
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 18 cm?
  36. 36.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.A closed box is 18 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  38. 38.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  39. 39.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)?
  40. 40.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 220
  2. 1144
  3. 144
  4. 180
  5. 616
  6. 792
  7. 12
  8. 612
  9. 60
  10. 440
  11. 54
  12. 4158
  13. 318
  14. 539
  15. 160
  16. 125
  17. 880
  18. 24
  19. 512
  20. 100
  21. 315
  22. 474
  23. 126
  24. 200
  25. 2420
  26. 72
  27. 120
  28. 510
  29. 90
  30. 108
  31. 112
  32. 195
  33. 16632
  34. 968
  35. 180
  36. 1848
  37. 888
  38. 2744
  39. 1144
  40. 176

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