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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 140 · 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 cylinder has a radius of 21 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A fish tank is 30 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 25 cm × 30 cm?
  4. 4.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 12 cm × 4 cm?
  5. 5.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A fish tank is 60 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  8. 8.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 8 cm?
  9. 9.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  10. 10.A cylinder has a radius of 21 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  12. 12.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  13. 13.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 9 cm?
  14. 14.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 12 cm?
  15. 15.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A fish tank is 120 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A closed box is 9 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  18. 18.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 24 cm?
  19. 19.A fish tank is 40 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 6 cm × 8 cm?
  21. 21.A closed box is 18 cm long, 12 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  22. 22.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  24. 24.A fish tank is 50 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A closed box is 5 cm long, 2 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  26. 26.A fish tank is 60 cm long, 90 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 4 cm?
  28. 28.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)?
  29. 29.A closed box is 19 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  30. 30.A box is 13 cm long, 14 cm wide and 10 cm high. What is its volume (in cubic cm)?
  31. 31.A box is 7 cm long, 6 cm wide and 12 cm high. What is its volume (in cubic cm)?
  32. 32.A fish tank is 40 cm long, 20 cm wide and 80 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 10 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A closed box is 7 cm long, 4 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  35. 35.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  36. 36.A box is 6 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
  37. 37.A fish tank is 40 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  39. 39.A fish tank is 110 cm long, 70 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 8 cm × 24 cm?

Answer key

  1. 23562
  2. 168
  3. 90
  4. 72
  5. 484
  6. 180
  7. 1232
  8. 20
  9. 1176
  10. 6930
  11. 2197
  12. 726
  13. 45
  14. 54
  15. 462
  16. 540
  17. 146
  18. 144
  19. 144
  20. 24
  21. 972
  22. 11704
  23. 512
  24. 280
  25. 90
  26. 540
  27. 24
  28. 2310
  29. 612
  30. 1820
  31. 504
  32. 64
  33. 880
  34. 320
  35. 864
  36. 192
  37. 200
  38. 8
  39. 770
  40. 60

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