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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 498 · 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 2 cm fit exactly in a box that is 12 cm × 8 cm × 10 cm?
  2. 2.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)?
  3. 3.A box is 19 cm long, 4 cm wide and 12 cm high. What is its volume (in cubic cm)?
  4. 4.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  5. 5.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  6. 6.A fish tank is 40 cm long, 80 cm wide and 80 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 7 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 16 cm × 12 cm × 16 cm?
  9. 9.A box is 13 cm long, 7 cm wide and 3 cm high. What is its volume (in cubic cm)?
  10. 10.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  11. 11.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  12. 12.A closed box is 3 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  13. 13.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  14. 14.A fish tank is 40 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A fish tank is 80 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 fish tank is 50 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 8 cm?
  19. 19.A box is 10 cm long, 14 cm wide and 9 cm high. What is its volume (in cubic cm)?
  20. 20.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)
  21. 21.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  22. 22.A fish tank is 70 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A closed box is 4 cm long, 5 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  24. 24.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 9 cm × 12 cm?
  25. 25.A closed box is 16 cm long, 8 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  26. 26.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  27. 27.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  28. 28.A fish tank is 100 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A closed box is 17 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  30. 30.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  31. 31.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 4 cm?
  32. 32.A box is 9 cm long, 5 cm wide and 7 cm high. What is its volume (in cubic cm)?
  33. 33.A fish tank is 30 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A pipe (a cylinder) has a radius of 7 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.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)?
  36. 36.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)?
  37. 37.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 30 cm?
  38. 38.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)?
  39. 39.A pipe (a cylinder) has a radius of 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.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)?

Answer key

  1. 120
  2. 616
  3. 912
  4. 10472
  5. 150
  6. 256
  7. 1078
  8. 48
  9. 273
  10. 864
  11. 216
  12. 150
  13. 1728
  14. 216
  15. 2002
  16. 360
  17. 75
  18. 8
  19. 1260
  20. 200
  21. 54
  22. 105
  23. 256
  24. 36
  25. 544
  26. 512
  27. 2618
  28. 60
  29. 410
  30. 8
  31. 24
  32. 315
  33. 168
  34. 132
  35. 2464
  36. 1232
  37. 72
  38. 1144
  39. 484
  40. 440

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