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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 295 · 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 8 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  2. 2.A closed box is 18 cm long, 15 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  3. 3.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  5. 5.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 8 cm?
  7. 7.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 4 cm?
  8. 8.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)?
  9. 9.A cylinder has a radius of 21 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 30 cm?
  12. 12.A closed box is 8 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  13. 13.A box is 8 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
  14. 14.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  15. 15.A fish tank is 60 cm long, 40 cm wide and 90 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 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.A closed box is 13 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  18. 18.A closed box is 7 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  19. 19.A fish tank is 30 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A box is 9 cm long, 2 cm wide and 12 cm high. What is its volume (in cubic cm)?
  21. 21.A box is 9 cm long, 2 cm wide and 10 cm high. What is its volume (in cubic cm)?
  22. 22.A box is 17 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  23. 23.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  24. 24.A box is 13 cm long, 13 cm wide and 10 cm high. What is its volume (in cubic cm)?
  25. 25.A fish tank is 70 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A fish tank is 110 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A fish tank is 80 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A closed box is 14 cm long, 9 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  29. 29.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  30. 30.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  31. 31.A fish tank is 70 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A pipe (a cylinder) has a radius of 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A closed box is 5 cm long, 4 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  34. 34.A fish tank is 50 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  36. 36.A fish tank is 120 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 cube has an edge of 12 cm. What is its volume (in cubic cm)?
  38. 38.A closed box is 8 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  39. 39.A box is 6 cm long, 5 cm wide and 10 cm high. What is its volume (in cubic cm)?
  40. 40.A cylinder has a radius of 14 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 152
  2. 1134
  3. 8624
  4. 600
  5. 616
  6. 80
  7. 20
  8. 2772
  9. 9702
  10. 1144
  11. 72
  12. 562
  13. 616
  14. 216
  15. 216
  16. 616
  17. 342
  18. 448
  19. 81
  20. 216
  21. 180
  22. 510
  23. 484
  24. 1690
  25. 392
  26. 66
  27. 320
  28. 712
  29. 10472
  30. 1350
  31. 70
  32. 484
  33. 166
  34. 135
  35. 8
  36. 288
  37. 1728
  38. 160
  39. 300
  40. 12320

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