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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 257 · 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 18 cm long, 5 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  2. 2.A closed box is 4 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  3. 3.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)?
  4. 4.A cylinder has a radius of 21 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A fish tank is 100 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.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)?
  8. 8.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  9. 9.A closed box is 4 cm long, 12 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  10. 10.A box is 13 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
  11. 11.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)?
  12. 12.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)?
  13. 13.A closed box is 18 cm long, 2 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  14. 14.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 10 cm?
  16. 16.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 15 cm × 18 cm?
  18. 18.A box is 7 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
  19. 19.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)?
  20. 20.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A closed box is 9 cm long, 3 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  23. 23.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 8 cm?
  24. 24.A box is 10 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  25. 25.A closed box is 19 cm long, 7 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  26. 26.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  27. 27.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 20 cm?
  28. 28.A cylinder has a radius of 14 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  30. 30.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 12 cm × 10 cm?
  31. 31.A box is 20 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  32. 32.A fish tank is 50 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A closed box is 4 cm long, 14 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  34. 34.A fish tank is 90 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A box is 10 cm long, 4 cm wide and 10 cm high. What is its volume (in cubic cm)?
  36. 36.A box is 9 cm long, 6 cm wide and 8 cm high. What is its volume (in cubic cm)?
  37. 37.A box is 5 cm long, 15 cm wide and 7 cm high. What is its volume (in cubic cm)?
  38. 38.A closed box is 17 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  39. 39.A closed box is 7 cm long, 6 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  40. 40.A fish tank is 60 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 456
  2. 184
  3. 1694
  4. 11088
  5. 500
  6. 616
  7. 396
  8. 2772
  9. 416
  10. 455
  11. 9702
  12. 88
  13. 152
  14. 1014
  15. 50
  16. 5544
  17. 120
  18. 224
  19. 308
  20. 1760
  21. 1232
  22. 198
  23. 48
  24. 200
  25. 682
  26. 352
  27. 24
  28. 6160
  29. 528
  30. 120
  31. 660
  32. 50
  33. 184
  34. 324
  35. 400
  36. 432
  37. 525
  38. 524
  39. 266
  40. 210

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