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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 332 · 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 fish tank is 100 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  3. 3.A fish tank is 80 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A closed box is 19 cm long, 12 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  5. 5.A closed box is 17 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  6. 6.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.A fish tank is 40 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A fish tank is 50 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 4 cm?
  10. 10.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)?
  11. 11.A closed box is 6 cm long, 11 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  12. 12.A closed box is 9 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  13. 13.A closed box is 14 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  14. 14.A box is 3 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
  15. 15.A box is 9 cm long, 6 cm wide and 12 cm high. What is its volume (in cubic cm)?
  16. 16.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 8 cm?
  17. 17.A pipe (a cylinder) has a radius of 4 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  19. 19.A pipe (a cylinder) has a radius of 13 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A fish tank is 60 cm long, 70 cm wide and 90 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 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  23. 23.A fish tank is 70 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A fish tank is 110 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  26. 26.A box is 15 cm long, 14 cm wide and 7 cm high. What is its volume (in cubic cm)?
  27. 27.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 18 cm?
  28. 28.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 8 cm?
  29. 29.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  30. 30.A box is 3 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  31. 31.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)?
  32. 32.A closed box is 16 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  33. 33.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)?
  34. 34.A closed box is 10 cm long, 3 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  35. 35.A box is 17 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
  36. 36.A pipe (a cylinder) has a radius of 14 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  37. 37.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  38. 38.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  39. 39.A box is 16 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  40. 40.A box is 19 cm long, 8 cm wide and 2 cm high. What is its volume (in cubic cm)?

Answer key

  1. 900
  2. 1728
  3. 192
  4. 1076
  5. 640
  6. 6776
  7. 160
  8. 360
  9. 40
  10. 2772
  11. 472
  12. 348
  13. 596
  14. 126
  15. 648
  16. 40
  17. 352
  18. 54
  19. 1144
  20. 378
  21. 264
  22. 512
  23. 168
  24. 198
  25. 726
  26. 1470
  27. 90
  28. 24
  29. 216
  30. 66
  31. 792
  32. 638
  33. 308
  34. 294
  35. 204
  36. 440
  37. 3375
  38. 864
  39. 704
  40. 304

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