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Volume and Surface Area Worksheet

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

Answer key

  1. 1728
  2. 54
  3. 308
  4. 264
  5. 1344
  6. 60
  7. 891
  8. 1176
  9. 216
  10. 792
  11. 240
  12. 366
  13. 528
  14. 480
  15. 5544
  16. 36
  17. 27
  18. 514
  19. 572
  20. 388
  21. 3696
  22. 352
  23. 495
  24. 150
  25. 220
  26. 180
  27. 48
  28. 64
  29. 346
  30. 88
  31. 550
  32. 168
  33. 198
  34. 96
  35. 12
  36. 2772
  37. 330
  38. 826
  39. 146
  40. 20

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