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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 99 · 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 closed box is 8 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  2. 2.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  3. 3.A box is 19 cm long, 4 cm wide and 2 cm high. What is its volume (in cubic cm)?
  4. 4.A box is 16 cm long, 12 cm wide and 12 cm high. What is its volume (in cubic cm)?
  5. 5.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 6 cm?
  6. 6.A fish tank is 60 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.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)?
  8. 8.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  9. 9.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  10. 10.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)?
  11. 11.A box is 7 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
  12. 12.A closed box is 3 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  13. 13.A closed box is 5 cm long, 4 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  14. 14.A closed box is 15 cm long, 9 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  15. 15.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)?
  16. 16.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)?
  17. 17.A cylinder has a radius of 21 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  19. 19.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 8 cm × 20 cm?
  20. 20.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 12 cm × 12 cm?
  21. 21.A box is 19 cm long, 7 cm wide and 7 cm high. What is its volume (in cubic cm)?
  22. 22.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  23. 23.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 8 cm?
  24. 24.A box is 20 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  25. 25.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  26. 26.A fish tank is 80 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A closed box is 17 cm long, 6 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  28. 28.A fish tank is 30 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  30. 30.A box is 7 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  31. 31.A box is 4 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  32. 32.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 20 cm?
  33. 33.A fish tank is 40 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 10 cm?
  35. 35.A closed box is 11 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  36. 36.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)?
  37. 37.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  38. 38.A closed box is 7 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  39. 39.A fish tank is 70 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?

Answer key

  1. 112
  2. 1000
  3. 152
  4. 2304
  5. 12
  6. 384
  7. 9702
  8. 9240
  9. 1350
  10. 572
  11. 168
  12. 62
  13. 166
  14. 366
  15. 1144
  16. 528
  17. 26334
  18. 1014
  19. 50
  20. 54
  21. 931
  22. 726
  23. 20
  24. 600
  25. 8
  26. 448
  27. 756
  28. 126
  29. 616
  30. 231
  31. 40
  32. 24
  33. 160
  34. 120
  35. 208
  36. 616
  37. 150
  38. 182
  39. 105
  40. 384

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