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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 563 · 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 17 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  2. 2.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)?
  3. 3.A closed box is 15 cm long, 13 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  4. 4.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  5. 5.A fish tank is 120 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A fish tank is 40 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.A closed box is 3 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  9. 9.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)?
  10. 10.A closed box is 7 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  11. 11.A box is 5 cm long, 10 cm wide and 11 cm high. What is its volume (in cubic cm)?
  12. 12.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  13. 13.A box is 9 cm long, 8 cm wide and 7 cm high. What is its volume (in cubic cm)?
  14. 14.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 10 cm?
  15. 15.A closed box is 7 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  16. 16.A fish tank is 80 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A closed box is 7 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  18. 18.A box is 7 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?
  19. 19.A closed box is 9 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  20. 20.A closed box is 11 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  21. 21.A fish tank is 30 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A closed box is 15 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  23. 23.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 15 cm?
  24. 24.A fish tank is 40 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A box is 5 cm long, 15 cm wide and 11 cm high. What is its volume (in cubic cm)?
  26. 26.A fish tank is 50 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  28. 28.A closed box is 11 cm long, 6 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  29. 29.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)?
  30. 30.A box is 15 cm long, 14 cm wide and 7 cm high. What is its volume (in cubic cm)?
  31. 31.A fish tank is 30 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  33. 33.A fish tank is 90 cm long, 30 cm wide and 80 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 closed box is 13 cm long, 14 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  36. 36.A fish tank is 60 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A fish tank is 40 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  39. 39.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 15 cm?
  40. 40.A box is 6 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?

Answer key

  1. 670
  2. 308
  3. 670
  4. 3375
  5. 720
  6. 56
  7. 528
  8. 192
  9. 3080
  10. 190
  11. 550
  12. 216
  13. 504
  14. 60
  15. 122
  16. 192
  17. 154
  18. 196
  19. 150
  20. 538
  21. 105
  22. 430
  23. 75
  24. 160
  25. 825
  26. 20
  27. 2197
  28. 506
  29. 748
  30. 1470
  31. 81
  32. 729
  33. 216
  34. 1540
  35. 850
  36. 108
  37. 128
  38. 264
  39. 12
  40. 288

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