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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 512 · 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 10 cm × 4 cm × 4 cm?
  2. 2.A box is 12 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  3. 3.A fish tank is 80 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A closed box is 15 cm long, 10 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  5. 5.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 4 cm?
  6. 6.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.A closed box is 9 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  8. 8.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.A box is 20 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
  10. 10.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.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)?
  12. 12.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  13. 13.A fish tank is 90 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A box is 8 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 6 cm?
  16. 16.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)?
  17. 17.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 20 cm?
  18. 18.A closed box is 5 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  19. 19.A cylinder has a radius of 14 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 24 cm × 16 cm?
  21. 21.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A closed box is 20 cm long, 4 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  23. 23.A closed box is 6 cm long, 7 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  24. 24.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  25. 25.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  27. 27.A fish tank is 110 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  29. 29.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  30. 30.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  31. 31.A box is 14 cm long, 3 cm wide and 9 cm high. What is its volume (in cubic cm)?
  32. 32.A box is 3 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
  33. 33.A fish tank is 60 cm long, 30 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 8 cm × 12 cm × 6 cm?
  35. 35.A closed box is 10 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  36. 36.A box is 19 cm long, 13 cm wide and 7 cm high. What is its volume (in cubic cm)?
  37. 37.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)?
  38. 38.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)?
  39. 39.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  40. 40.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 16 cm × 20 cm?

Answer key

  1. 20
  2. 48
  3. 384
  4. 850
  5. 16
  6. 924
  7. 176
  8. 44
  9. 1200
  10. 572
  11. 3080
  12. 1176
  13. 54
  14. 208
  15. 45
  16. 792
  17. 80
  18. 148
  19. 9856
  20. 72
  21. 308
  22. 496
  23. 240
  24. 8
  25. 16632
  26. 1848
  27. 198
  28. 132
  29. 64
  30. 216
  31. 378
  32. 180
  33. 144
  34. 72
  35. 700
  36. 1729
  37. 9702
  38. 528
  39. 1728
  40. 100

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