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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 79 · 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).

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

Answer key

  1. 45
  2. 441
  3. 440
  4. 672
  5. 954
  6. 1320
  7. 6160
  8. 96
  9. 752
  10. 160
  11. 120
  12. 8624
  13. 200
  14. 440
  15. 250
  16. 125
  17. 630
  18. 456
  19. 765
  20. 16
  21. 108
  22. 396
  23. 42
  24. 27720
  25. 175
  26. 504
  27. 90
  28. 136
  29. 8
  30. 400
  31. 30
  32. 200
  33. 792
  34. 1760
  35. 466
  36. 288
  37. 8
  38. 32
  39. 764
  40. 64

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