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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 320 · 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 6 cm long, 12 cm wide and 9 cm high. What is its volume (in cubic cm)?
  2. 2.A closed box is 4 cm long, 11 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  3. 3.A closed box is 18 cm long, 9 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  4. 4.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)?
  5. 5.A fish tank is 50 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.A closed box is 6 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  7. 7.A fish tank is 30 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A fish tank is 30 cm long, 60 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 15 cm × 18 cm?
  10. 10.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  11. 11.A pipe (a cylinder) has a radius of 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  12. 12.A closed box is 16 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  13. 13.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 8 cm × 8 cm?
  14. 14.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.A fish tank is 110 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 6 cm?
  17. 17.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)?
  18. 18.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  19. 19.A closed box is 16 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  20. 20.A closed box is 6 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  21. 21.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)?
  22. 22.A fish tank is 50 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  24. 24.A closed box is 5 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  25. 25.A closed box is 13 cm long, 3 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  26. 26.A pipe (a cylinder) has a radius of 13 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  27. 27.A fish tank is 120 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.A closed box is 4 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  30. 30.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)?
  31. 31.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 15 cm?
  32. 32.A box is 3 cm long, 7 cm wide and 12 cm high. What is its volume (in cubic cm)?
  33. 33.A fish tank is 100 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 12 cm × 6 cm?
  35. 35.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  36. 36.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)?
  37. 37.A box is 12 cm long, 15 cm wide and 12 cm high. What is its volume (in cubic cm)?
  38. 38.A fish tank is 60 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 20 cm?
  40. 40.A cylinder has a radius of 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 648
  2. 328
  3. 486
  4. 88
  5. 70
  6. 200
  7. 45
  8. 162
  9. 120
  10. 27
  11. 880
  12. 408
  13. 12
  14. 13860
  15. 220
  16. 45
  17. 968
  18. 726
  19. 496
  20. 136
  21. 3080
  22. 60
  23. 176
  24. 286
  25. 270
  26. 1144
  27. 120
  28. 5544
  29. 256
  30. 8624
  31. 50
  32. 252
  33. 400
  34. 48
  35. 512
  36. 12474
  37. 2160
  38. 24
  39. 48
  40. 2464

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