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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 176 · 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 4 cm fit exactly in a box that is 16 cm × 12 cm × 16 cm?
  2. 2.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  3. 3.A box is 9 cm long, 12 cm wide and 7 cm high. What is its volume (in cubic cm)?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 20 cm?
  5. 5.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 9 cm × 6 cm?
  6. 6.A box is 18 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  7. 7.A closed box is 5 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  8. 8.A cylinder has a radius of 7 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  9. 9.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  11. 11.A closed box is 19 cm long, 14 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  12. 12.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  13. 13.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 12 cm × 12 cm?
  14. 14.A fish tank is 40 cm long, 40 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  16. 16.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 20 cm × 10 cm?
  18. 18.A fish tank is 110 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.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)?
  20. 20.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 25 cm?
  21. 21.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)?
  22. 22.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  23. 23.A box is 17 cm long, 13 cm wide and 5 cm high. What is its volume (in cubic cm)?
  24. 24.A pipe (a cylinder) has a radius of 7 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  26. 26.A closed box is 16 cm long, 10 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  27. 27.A fish tank is 100 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A fish tank is 40 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A box is 6 cm long, 10 cm wide and 9 cm high. What is its volume (in cubic cm)?
  30. 30.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)?
  31. 31.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  32. 32.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  33. 33.A box is 8 cm long, 15 cm wide and 11 cm high. What is its volume (in cubic cm)?
  34. 34.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 8 cm × 10 cm?
  35. 35.A closed box is 5 cm long, 9 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  36. 36.A fish tank is 70 cm long, 70 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A closed box is 18 cm long, 12 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  38. 38.A box is 7 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
  39. 39.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.A fish tank is 30 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 48
  2. 216
  3. 756
  4. 16
  5. 36
  6. 594
  7. 470
  8. 1694
  9. 2772
  10. 2197
  11. 796
  12. 150
  13. 54
  14. 160
  15. 1350
  16. 308
  17. 16
  18. 550
  19. 88
  20. 40
  21. 880
  22. 3375
  23. 1105
  24. 660
  25. 1014
  26. 788
  27. 40
  28. 72
  29. 540
  30. 528
  31. 8
  32. 216
  33. 1320
  34. 100
  35. 398
  36. 490
  37. 732
  38. 210
  39. 13860
  40. 42

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