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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 108 · 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 cylinder has a radius of 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A closed box is 19 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  3. 3.A closed box is 11 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  4. 4.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  5. 5.A box is 11 cm long, 10 cm wide and 7 cm high. What is its volume (in cubic cm)?
  6. 6.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  7. 7.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  8. 8.A fish tank is 110 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  10. 10.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  11. 11.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)?
  12. 12.A fish tank is 120 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A closed box is 11 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  14. 14.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 15 cm × 25 cm?
  15. 15.A fish tank is 70 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A cylinder has a radius of 14 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.A closed box is 8 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  18. 18.A closed box is 13 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  19. 19.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  21. 21.A closed box is 9 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  22. 22.A box is 19 cm long, 10 cm wide and 11 cm high. What is its volume (in cubic cm)?
  23. 23.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  24. 24.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)?
  25. 25.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)
  26. 26.A box is 15 cm long, 7 cm wide and 3 cm high. What is its volume (in cubic cm)?
  27. 27.A box is 13 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
  28. 28.A box is 9 cm long, 12 cm wide and 10 cm high. What is its volume (in cubic cm)?
  29. 29.A fish tank is 100 cm long, 80 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.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)?
  31. 31.A fish tank is 90 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A fish tank is 80 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A fish tank is 30 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 4 cm?
  36. 36.A closed box is 12 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  37. 37.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 6 cm × 9 cm?
  38. 38.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  39. 39.A cylinder has a radius of 7 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.A cylinder has a radius of 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 2464
  2. 520
  3. 330
  4. 352
  5. 770
  6. 216
  7. 216
  8. 264
  9. 8
  10. 24
  11. 572
  12. 768
  13. 356
  14. 90
  15. 140
  16. 11088
  17. 252
  18. 910
  19. 13860
  20. 1000
  21. 484
  22. 2090
  23. 2310
  24. 1232
  25. 24
  26. 315
  27. 390
  28. 1080
  29. 320
  30. 264
  31. 315
  32. 44
  33. 216
  34. 216
  35. 16
  36. 678
  37. 12
  38. 125
  39. 1848
  40. 9702

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