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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 168 · 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 4 cm × 6 cm × 12 cm?
  2. 2.A fish tank is 120 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A fish tank is 80 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A fish tank is 80 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 25 cm?
  6. 6.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  7. 7.A cylinder has a radius of 14 cm and a height of 12 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 × 10 cm?
  9. 9.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A box is 9 cm long, 7 cm wide and 8 cm high. What is its volume (in cubic cm)?
  11. 11.A box is 10 cm long, 5 cm wide and 2 cm high. What is its volume (in cubic cm)?
  12. 12.A closed box is 15 cm long, 6 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  13. 13.A closed box is 12 cm long, 8 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  14. 14.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 15 cm?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 4 cm?
  16. 16.A fish tank is 70 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A pipe (a cylinder) has a radius of 7 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A fish tank is 70 cm long, 100 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A cylinder has a radius of 7 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
  20. 20.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 8 cm?
  21. 21.A fish tank is 80 cm long, 30 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  24. 24.A closed box is 17 cm long, 15 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  25. 25.A fish tank is 80 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A closed box is 7 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  27. 27.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
  28. 28.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 30 cm × 25 cm?
  30. 30.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  31. 31.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)?
  32. 32.A cylinder has a radius of 21 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  33. 33.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)?
  34. 34.A closed box is 5 cm long, 11 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  35. 35.A fish tank is 70 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A fish tank is 100 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 box is 3 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
  38. 38.A closed box is 16 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  39. 39.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)?
  40. 40.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 10 cm × 30 cm?

Answer key

  1. 36
  2. 720
  3. 576
  4. 384
  5. 30
  6. 512
  7. 7392
  8. 48
  9. 22176
  10. 504
  11. 100
  12. 642
  13. 592
  14. 60
  15. 60
  16. 196
  17. 352
  18. 630
  19. 2926
  20. 8
  21. 168
  22. 4312
  23. 88
  24. 702
  25. 120
  26. 226
  27. 8
  28. 3080
  29. 180
  30. 8
  31. 6930
  32. 20790
  33. 1760
  34. 398
  35. 147
  36. 700
  37. 72
  38. 288
  39. 308
  40. 60

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