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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 445 · 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 19 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  2. 2.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  3. 3.A box is 20 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
  4. 4.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 12 cm?
  5. 5.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  6. 6.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  7. 7.A fish tank is 100 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A closed box is 12 cm long, 3 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
  10. 10.A fish tank is 110 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  11. 11.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  12. 12.A box is 19 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
  13. 13.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)?
  14. 14.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  15. 15.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 20 cm?
  16. 16.A box is 4 cm long, 8 cm wide and 3 cm high. What is its volume (in cubic cm)?
  17. 17.A closed box is 11 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  18. 18.A closed box is 8 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  19. 19.A fish tank is 60 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A fish tank is 50 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A pipe (a cylinder) has a radius of 7 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A fish tank is 50 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A box is 15 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  24. 24.A fish tank is 50 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 6 cm?
  26. 26.A closed box is 18 cm long, 7 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  27. 27.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  28. 28.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)?
  29. 29.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)?
  30. 30.A cylinder has a radius of 7 cm and a height of 2 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 10 cm × 10 cm × 10 cm?
  32. 32.A closed box is 18 cm long, 6 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  33. 33.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 25 cm × 10 cm?
  34. 34.A closed box is 10 cm long, 12 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  35. 35.A box is 4 cm long, 7 cm wide and 7 cm high. What is its volume (in cubic cm)?
  36. 36.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 12 cm?
  37. 37.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  38. 38.A box is 8 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  39. 39.A closed box is 19 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  40. 40.A box is 15 cm long, 13 cm wide and 4 cm high. What is its volume (in cubic cm)?

Answer key

  1. 422
  2. 24948
  3. 560
  4. 75
  5. 2197
  6. 1176
  7. 240
  8. 312
  9. 216
  10. 264
  11. 864
  12. 684
  13. 22176
  14. 486
  15. 45
  16. 96
  17. 346
  18. 376
  19. 84
  20. 150
  21. 88
  22. 90
  23. 660
  24. 40
  25. 72
  26. 552
  27. 216
  28. 528
  29. 1848
  30. 308
  31. 125
  32. 312
  33. 20
  34. 504
  35. 196
  36. 60
  37. 64
  38. 128
  39. 786
  40. 780

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