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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 296 · 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 cube has an edge of 2 cm. What is its volume (in cubic cm)?
  2. 2.A closed box is 7 cm long, 11 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  3. 3.A closed box is 8 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  4. 4.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)?
  5. 5.A closed box is 5 cm long, 3 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  6. 6.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  7. 7.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 10 cm?
  8. 8.A box is 3 cm long, 10 cm wide and 10 cm high. What is its volume (in cubic cm)?
  9. 9.A fish tank is 120 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.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)?
  11. 11.A closed box is 3 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  12. 12.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  13. 13.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  14. 14.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.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)?
  16. 16.A box is 15 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
  17. 17.A fish tank is 40 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A fish tank is 90 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.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)
  20. 20.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)?
  21. 21.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  22. 22.A box is 19 cm long, 2 cm wide and 11 cm high. What is its volume (in cubic cm)?
  23. 23.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)?
  24. 24.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  25. 25.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)?
  26. 26.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 8 cm?
  27. 27.A box is 9 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  28. 28.A box is 18 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  29. 29.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  30. 30.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 24 cm?
  31. 31.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 16 cm?
  32. 32.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  33. 33.A box is 8 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
  34. 34.A box is 5 cm long, 6 cm wide and 8 cm high. What is its volume (in cubic cm)?
  35. 35.A closed box is 7 cm long, 7 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  36. 36.A fish tank is 50 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A box is 17 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  38. 38.A fish tank is 40 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A closed box is 18 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  40. 40.A box is 11 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?

Answer key

  1. 8
  2. 262
  3. 262
  4. 616
  5. 142
  6. 729
  7. 24
  8. 300
  9. 324
  10. 1144
  11. 142
  12. 96
  13. 216
  14. 1540
  15. 792
  16. 720
  17. 32
  18. 135
  19. 64
  20. 26334
  21. 1350
  22. 418
  23. 572
  24. 3375
  25. 1232
  26. 48
  27. 90
  28. 360
  29. 27
  30. 54
  31. 80
  32. 24
  33. 48
  34. 240
  35. 294
  36. 175
  37. 170
  38. 224
  39. 672
  40. 1188

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