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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 53 · 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 box is 19 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
  2. 2.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 8 cm?
  3. 3.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A closed box is 18 cm long, 14 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  5. 5.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.A box is 6 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
  8. 8.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 4 cm?
  10. 10.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A cylinder has a radius of 21 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 30 cm?
  13. 13.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 10 cm × 15 cm?
  15. 15.A closed box is 11 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  16. 16.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)?
  17. 17.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.A closed box is 14 cm long, 4 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  19. 19.A box is 15 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
  20. 20.A box is 12 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
  21. 21.A closed box is 5 cm long, 9 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  22. 22.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 25 cm × 15 cm?
  23. 23.A closed box is 8 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  24. 24.A box is 6 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
  25. 25.A closed box is 4 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  26. 26.A fish tank is 120 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A fish tank is 90 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A closed box is 8 cm long, 13 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  29. 29.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  30. 30.A closed box is 10 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  31. 31.A closed box is 10 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  32. 32.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)?
  33. 33.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  34. 34.A fish tank is 70 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 20 cm?
  36. 36.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)?
  37. 37.A box is 8 cm long, 12 cm wide and 12 cm high. What is its volume (in cubic cm)?
  38. 38.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)?
  39. 39.A box is 18 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
  40. 40.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 8 cm?

Answer key

  1. 342
  2. 18
  3. 88
  4. 696
  5. 1386
  6. 12474
  7. 144
  8. 396
  9. 12
  10. 1056
  11. 20790
  12. 24
  13. 484
  14. 30
  15. 328
  16. 1232
  17. 10472
  18. 364
  19. 900
  20. 312
  21. 398
  22. 30
  23. 544
  24. 240
  25. 94
  26. 180
  27. 90
  28. 460
  29. 264
  30. 430
  31. 680
  32. 2464
  33. 216
  34. 252
  35. 32
  36. 9856
  37. 1152
  38. 264
  39. 288
  40. 80

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