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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 539 · 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 9 cm long, 3 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  2. 2.A fish tank is 40 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A fish tank is 40 cm long, 40 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.A cylinder has a radius of 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A fish tank is 50 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A box is 17 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  8. 8.A fish tank is 80 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 box is 3 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
  10. 10.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
  11. 11.A closed box is 14 cm long, 15 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  12. 12.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)?
  13. 13.A box is 8 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
  14. 14.A fish tank is 30 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A closed box is 5 cm long, 6 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  16. 16.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 30 cm?
  17. 17.A cylinder has a radius of 14 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.A fish tank is 60 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 8 cm × 6 cm?
  20. 20.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 15 cm?
  21. 21.A closed box is 4 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  22. 22.A fish tank is 110 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A fish tank is 110 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A fish tank is 120 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.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)?
  26. 26.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  27. 27.A pipe (a cylinder) has a radius of 7 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 6 cm × 12 cm?
  29. 29.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 25 cm × 20 cm?
  30. 30.A box is 7 cm long, 6 cm wide and 9 cm high. What is its volume (in cubic cm)?
  31. 31.A closed box is 4 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  32. 32.A box is 6 cm long, 2 cm wide and 12 cm high. What is its volume (in cubic cm)?
  33. 33.A closed box is 7 cm long, 7 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  34. 34.A box is 8 cm long, 7 cm wide and 5 cm high. What is its volume (in cubic cm)?
  35. 35.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  36. 36.A fish tank is 70 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A fish tank is 30 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A fish tank is 60 cm long, 40 cm wide and 30 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 cube has an edge of 14 cm. What is its volume (in cubic cm)?

Answer key

  1. 294
  2. 288
  3. 440
  4. 144
  5. 8316
  6. 175
  7. 170
  8. 96
  9. 36
  10. 24
  11. 594
  12. 880
  13. 480
  14. 36
  15. 126
  16. 72
  17. 9856
  18. 84
  19. 36
  20. 90
  21. 184
  22. 693
  23. 88
  24. 240
  25. 4312
  26. 54
  27. 88
  28. 90
  29. 60
  30. 378
  31. 100
  32. 144
  33. 434
  34. 280
  35. 864
  36. 168
  37. 45
  38. 72
  39. 48
  40. 2744

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