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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 253 · 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 fish tank is 90 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A closed box is 19 cm long, 14 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  3. 3.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  4. 4.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)
  5. 5.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 16 cm × 16 cm?
  6. 6.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)
  7. 7.A box is 19 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
  8. 8.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)?
  9. 9.A fish tank is 60 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 20 cm?
  11. 11.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 4 cm?
  12. 12.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)?
  13. 13.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  14. 14.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
  15. 15.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  16. 16.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)?
  17. 17.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  18. 18.A fish tank is 70 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A fish tank is 100 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.A box is 7 cm long, 3 cm wide and 7 cm high. What is its volume (in cubic cm)?
  21. 21.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 8 cm?
  22. 22.A box is 10 cm long, 8 cm wide and 4 cm high. What is its volume (in cubic cm)?
  23. 23.A fish tank is 70 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  24. 24.A box is 13 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  25. 25.A box is 11 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  26. 26.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  27. 27.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  28. 28.A box is 13 cm long, 6 cm wide and 8 cm high. What is its volume (in cubic cm)?
  29. 29.A box is 6 cm long, 11 cm wide and 7 cm high. What is its volume (in cubic cm)?
  30. 30.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  31. 31.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  33. 33.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 15 cm?
  34. 34.A closed box is 7 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  35. 35.A cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.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)?
  37. 37.A closed box is 19 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  38. 38.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  39. 39.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.A box is 10 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?

Answer key

  1. 108
  2. 1126
  3. 3080
  4. 70
  5. 64
  6. 450
  7. 684
  8. 616
  9. 240
  10. 48
  11. 72
  12. 616
  13. 2310
  14. 27
  15. 88
  16. 528
  17. 1848
  18. 210
  19. 630
  20. 147
  21. 48
  22. 320
  23. 63
  24. 52
  25. 550
  26. 1350
  27. 1672
  28. 624
  29. 462
  30. 440
  31. 264
  32. 729
  33. 24
  34. 226
  35. 23562
  36. 308
  37. 554
  38. 216
  39. 396
  40. 480

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