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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 468 · 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 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  3. 3.A closed box is 7 cm long, 14 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  4. 4.A fish tank is 50 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 8 cm?
  7. 7.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 10 cm?
  8. 8.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  9. 9.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  10. 10.A fish tank is 110 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  12. 12.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  13. 13.A box is 13 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  14. 14.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  15. 15.A fish tank is 50 cm long, 20 cm wide and 40 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 12 cm. What is its volume (in cubic cm)?
  17. 17.A box is 4 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  18. 18.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  19. 19.A box is 11 cm long, 3 cm wide and 3 cm high. What is its volume (in cubic cm)?
  20. 20.A box is 19 cm long, 14 cm wide and 4 cm high. What is its volume (in cubic cm)?
  21. 21.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A closed box is 13 cm long, 12 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  23. 23.A closed box is 8 cm long, 3 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  24. 24.A box is 19 cm long, 8 cm wide and 9 cm high. What is its volume (in cubic cm)?
  25. 25.A closed box is 4 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  26. 26.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 10 cm × 4 cm?
  27. 27.A box is 7 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  28. 28.A closed box is 6 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  29. 29.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)?
  30. 30.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)
  31. 31.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)?
  32. 32.A pipe (a cylinder) has a radius of 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A closed box is 18 cm long, 14 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  35. 35.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 6 cm?
  36. 36.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 20 cm?
  37. 37.A closed box is 5 cm long, 10 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  38. 38.A fish tank is 70 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A box is 3 cm long, 13 cm wide and 8 cm high. What is its volume (in cubic cm)?
  40. 40.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?

Answer key

  1. 22176
  2. 1176
  3. 532
  4. 100
  5. 5544
  6. 80
  7. 60
  8. 486
  9. 125
  10. 198
  11. 343
  12. 1000
  13. 195
  14. 512
  15. 40
  16. 1728
  17. 32
  18. 1386
  19. 99
  20. 1064
  21. 528
  22. 712
  23. 202
  24. 1368
  25. 478
  26. 50
  27. 105
  28. 506
  29. 2464
  30. 315
  31. 880
  32. 792
  33. 528
  34. 760
  35. 30
  36. 120
  37. 280
  38. 112
  39. 312
  40. 150

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