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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 49 · 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 11 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  2. 2.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 10 cm?
  3. 3.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 8 cm?
  4. 4.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  5. 5.A fish tank is 40 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A box is 9 cm long, 9 cm wide and 7 cm high. What is its volume (in cubic cm)?
  7. 7.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.A closed box is 17 cm long, 11 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  9. 9.A box is 15 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
  10. 10.A fish tank is 80 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.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
  12. 12.A fish tank is 110 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A closed box is 11 cm long, 13 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  14. 14.A pipe (a cylinder) has a radius of 14 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.A closed box is 11 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  16. 16.A pipe (a cylinder) has a radius of 13 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A closed box is 20 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  18. 18.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  19. 19.A fish tank is 70 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A pipe (a cylinder) has a radius of 7 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  21. 21.A closed box is 9 cm long, 6 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  22. 22.A box is 12 cm long, 13 cm wide and 10 cm high. What is its volume (in cubic cm)?
  23. 23.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 30 cm × 15 cm?
  24. 24.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  25. 25.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  26. 26.A closed box is 14 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  27. 27.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  28. 28.A box is 5 cm long, 8 cm wide and 5 cm high. What is its volume (in cubic cm)?
  29. 29.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 12 cm?
  30. 30.A closed box is 14 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  31. 31.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 4 cm?
  32. 32.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  34. 34.A closed box is 15 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  35. 35.A closed box is 17 cm long, 7 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  36. 36.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 10 cm?
  37. 37.A box is 6 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
  38. 38.A closed box is 5 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  39. 39.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 4 cm?
  40. 40.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?

Answer key

  1. 268
  2. 12
  3. 36
  4. 132
  5. 48
  6. 567
  7. 352
  8. 990
  9. 540
  10. 192
  11. 24
  12. 660
  13. 862
  14. 968
  15. 514
  16. 572
  17. 450
  18. 1000
  19. 196
  20. 792
  21. 378
  22. 1560
  23. 108
  24. 343
  25. 1014
  26. 596
  27. 8
  28. 200
  29. 12
  30. 458
  31. 24
  32. 352
  33. 726
  34. 470
  35. 574
  36. 24
  37. 288
  38. 340
  39. 24
  40. 486

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