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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 249 · 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 19 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  2. 2.A box is 14 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
  3. 3.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 25 cm × 25 cm?
  5. 5.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.A closed box is 5 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  8. 8.A box is 16 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  9. 9.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  10. 10.A closed box is 12 cm long, 8 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  11. 11.A box is 15 cm long, 4 cm wide and 3 cm high. What is its volume (in cubic cm)?
  12. 12.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  13. 13.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 6 cm?
  14. 14.A box is 11 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
  15. 15.A fish tank is 50 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.A pipe (a cylinder) has a radius of 14 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A fish tank is 90 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  20. 20.A fish tank is 120 cm long, 50 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A fish tank is 40 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A fish tank is 120 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  24. 24.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  25. 25.A box is 8 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  26. 26.A box is 3 cm long, 2 cm wide and 6 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 6 cm × 18 cm × 12 cm?
  28. 28.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)?
  29. 29.A box is 19 cm long, 8 cm wide and 3 cm high. What is its volume (in cubic cm)?
  30. 30.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  31. 31.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  32. 32.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 20 cm × 24 cm?
  33. 33.A fish tank is 90 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
  36. 36.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)?
  37. 37.A box is 11 cm long, 6 cm wide and 7 cm high. What is its volume (in cubic cm)?
  38. 38.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  39. 39.A closed box is 8 cm long, 13 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  40. 40.A pipe (a cylinder) has a radius of 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 574
  2. 252
  3. 4312
  4. 50
  5. 132
  6. 748
  7. 220
  8. 288
  9. 704
  10. 352
  11. 180
  12. 16632
  13. 45
  14. 198
  15. 90
  16. 3080
  17. 176
  18. 576
  19. 600
  20. 480
  21. 252
  22. 576
  23. 3080
  24. 2772
  25. 128
  26. 36
  27. 48
  28. 44
  29. 456
  30. 54
  31. 343
  32. 150
  33. 54
  34. 1540
  35. 2744
  36. 11088
  37. 462
  38. 1728
  39. 334
  40. 968

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