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Volume and Surface Area Worksheet

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

Answer key

  1. 336
  2. 210
  3. 376
  4. 6776
  5. 30
  6. 1540
  7. 44
  8. 680
  9. 300
  10. 912
  11. 968
  12. 12474
  13. 486
  14. 324
  15. 1280
  16. 18
  17. 1078
  18. 36
  19. 880
  20. 840
  21. 150
  22. 88
  23. 360
  24. 90
  25. 2618
  26. 594
  27. 320
  28. 11088
  29. 880
  30. 40
  31. 288
  32. 184
  33. 224
  34. 675
  35. 824
  36. 264
  37. 126
  38. 44
  39. 726
  40. 30

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