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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 181 · 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.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 4 cm?
  2. 2.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  3. 3.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  5. 5.A closed box is 20 cm long, 10 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  6. 6.A fish tank is 60 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A closed box is 5 cm long, 9 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  8. 8.A closed box is 10 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  9. 9.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 25 cm × 20 cm?
  10. 10.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 9 cm?
  11. 11.A pipe (a cylinder) has a radius of 4 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 70 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  14. 14.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 25 cm × 10 cm?
  15. 15.A box is 6 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
  16. 16.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.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)?
  18. 18.A box is 11 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  19. 19.A box is 18 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
  20. 20.A fish tank is 70 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A box is 10 cm long, 8 cm wide and 8 cm high. What is its volume (in cubic cm)?
  22. 22.A fish tank is 40 cm long, 20 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A closed box is 4 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  24. 24.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 12 cm?
  25. 25.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 8 cm?
  26. 26.A box is 13 cm long, 8 cm wide and 5 cm high. What is its volume (in cubic cm)?
  27. 27.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)?
  28. 28.A fish tank is 40 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A box is 6 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  30. 30.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 6 cm?
  32. 32.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  33. 33.A fish tank is 100 cm long, 70 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  36. 36.A box is 12 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  37. 37.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  38. 38.A closed box is 19 cm long, 8 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  39. 39.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  40. 40.A closed box is 14 cm long, 3 cm wide and 2 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 32
  2. 96
  3. 264
  4. 2197
  5. 940
  6. 60
  7. 258
  8. 370
  9. 120
  10. 45
  11. 176
  12. 350
  13. 27
  14. 20
  15. 162
  16. 3080
  17. 1848
  18. 220
  19. 1386
  20. 245
  21. 640
  22. 48
  23. 76
  24. 60
  25. 144
  26. 520
  27. 2464
  28. 56
  29. 132
  30. 462
  31. 36
  32. 1014
  33. 700
  34. 1694
  35. 216
  36. 192
  37. 2744
  38. 412
  39. 8
  40. 152

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