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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 269 · 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 8 cm. What is its volume (in cubic cm)?
  2. 2.A closed box is 10 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  3. 3.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A box is 13 cm long, 8 cm wide and 2 cm high. What is its volume (in cubic cm)?
  5. 5.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  6. 6.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)?
  7. 7.A closed box is 17 cm long, 7 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  8. 8.A fish tank is 30 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A pipe (a cylinder) has a radius of 12 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  10. 10.A closed box is 8 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  11. 11.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)?
  12. 12.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  13. 13.A fish tank is 50 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A box is 9 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
  15. 15.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 15 cm?
  16. 16.A fish tank is 70 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 12 cm × 12 cm?
  18. 18.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  19. 19.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 9 cm?
  20. 20.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  21. 21.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A fish tank is 70 cm long, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A fish tank is 90 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  25. 25.A box is 4 cm long, 13 cm wide and 8 cm high. What is its volume (in cubic cm)?
  26. 26.A box is 11 cm long, 13 cm wide and 10 cm high. What is its volume (in cubic cm)?
  27. 27.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 18 cm × 18 cm?
  28. 28.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 20 cm?
  29. 29.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  30. 30.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 8 cm × 24 cm?
  31. 31.A closed box is 16 cm long, 6 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  32. 32.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  33. 33.A fish tank is 30 cm long, 100 cm wide and 70 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 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A fish tank is 50 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.A box is 4 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  38. 38.A box is 8 cm long, 3 cm wide and 9 cm high. What is its volume (in cubic cm)?
  39. 39.A closed box is 3 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  40. 40.A box is 12 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?

Answer key

  1. 512
  2. 416
  3. 528
  4. 208
  5. 150
  6. 22176
  7. 526
  8. 63
  9. 528
  10. 72
  11. 11088
  12. 1672
  13. 100
  14. 540
  15. 36
  16. 28
  17. 18
  18. 792
  19. 18
  20. 8624
  21. 7392
  22. 252
  23. 216
  24. 8
  25. 416
  26. 1430
  27. 180
  28. 45
  29. 64
  30. 72
  31. 544
  32. 27720
  33. 210
  34. 162
  35. 45
  36. 4158
  37. 120
  38. 216
  39. 174
  40. 144

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