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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 352 · 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 14 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  2. 2.A closed box is 6 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  3. 3.A box is 3 cm long, 10 cm wide and 10 cm high. What is its volume (in cubic cm)?
  4. 4.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  5. 5.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  6. 6.A fish tank is 90 cm long, 30 cm wide and 30 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 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.A fish tank is 40 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  10. 10.A box is 13 cm long, 5 cm wide and 12 cm high. What is its volume (in cubic cm)?
  11. 11.A closed box is 16 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  12. 12.A box is 12 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
  13. 13.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)?
  14. 14.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 15 cm?
  16. 16.A closed box is 4 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  17. 17.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  18. 18.A fish tank is 60 cm long, 40 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 2 cm. What is its volume (in cubic cm)?
  20. 20.A closed box is 17 cm long, 8 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  21. 21.A box is 17 cm long, 8 cm wide and 4 cm high. What is its volume (in cubic cm)?
  22. 22.A closed box is 11 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  23. 23.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 6 cm?
  24. 24.A fish tank is 100 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A fish tank is 90 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A closed box is 8 cm long, 3 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  27. 27.A fish tank is 60 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A fish tank is 90 cm long, 80 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A box is 3 cm long, 13 cm wide and 10 cm high. What is its volume (in cubic cm)?
  30. 30.A closed box is 5 cm long, 6 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  31. 31.A closed box is 10 cm long, 6 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  32. 32.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)
  33. 33.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  35. 35.A closed box is 9 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  36. 36.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 20 cm × 24 cm?
  38. 38.A closed box is 15 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  39. 39.A closed box is 7 cm long, 8 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  40. 40.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)?

Answer key

  1. 328
  2. 236
  3. 300
  4. 64
  5. 96
  6. 81
  7. 616
  8. 48
  9. 54
  10. 780
  11. 538
  12. 360
  13. 308
  14. 572
  15. 75
  16. 52
  17. 1014
  18. 192
  19. 8
  20. 422
  21. 544
  22. 270
  23. 30
  24. 360
  25. 450
  26. 202
  27. 144
  28. 720
  29. 390
  30. 170
  31. 344
  32. 576
  33. 88
  34. 384
  35. 586
  36. 924
  37. 180
  38. 234
  39. 382
  40. 3696

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