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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 236 · 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 6 cm × 9 cm × 6 cm?
  2. 2.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 12 cm × 6 cm?
  3. 3.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  4. 4.A box is 7 cm long, 6 cm wide and 7 cm high. What is its volume (in cubic cm)?
  5. 5.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.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)
  7. 7.A cylinder has a radius of 7 cm and a height of 20 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 10 cm × 25 cm × 10 cm?
  9. 9.A fish tank is 80 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
  11. 11.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  12. 12.A closed box is 15 cm long, 14 cm wide and 2 cm high. 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 20 cm × 20 cm × 24 cm?
  14. 14.A fish tank is 70 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.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)
  16. 16.A pipe (a cylinder) has a radius of 14 cm and a length of 19 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A closed box is 8 cm long, 14 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  18. 18.A pipe (a cylinder) has a radius of 14 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  19. 19.A box is 8 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
  20. 20.A closed box is 10 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  21. 21.A fish tank is 100 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A box is 19 cm long, 10 cm wide and 10 cm high. What is its volume (in cubic cm)?
  23. 23.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  24. 24.A pipe (a cylinder) has a radius of 14 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.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)?
  27. 27.A box is 19 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
  28. 28.A fish tank is 100 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A closed box is 14 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  30. 30.A fish tank is 90 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  32. 32.A box is 4 cm long, 14 cm wide and 5 cm high. What is its volume (in cubic cm)?
  33. 33.A box is 14 cm long, 15 cm wide and 12 cm high. What is its volume (in cubic cm)?
  34. 34.A box is 16 cm long, 4 cm wide and 6 cm high. What is its volume (in cubic cm)?
  35. 35.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)?
  36. 36.A fish tank is 50 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  38. 38.A closed box is 6 cm long, 11 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  39. 39.A closed box is 18 cm long, 7 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  40. 40.A fish tank is 90 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 12
  2. 16
  3. 1728
  4. 294
  5. 1386
  6. 42
  7. 3080
  8. 20
  9. 448
  10. 600
  11. 64
  12. 536
  13. 150
  14. 98
  15. 256
  16. 1672
  17. 312
  18. 1408
  19. 120
  20. 208
  21. 240
  22. 1900
  23. 528
  24. 1232
  25. 2156
  26. 2464
  27. 190
  28. 450
  29. 400
  30. 504
  31. 220
  32. 280
  33. 2520
  34. 384
  35. 88
  36. 100
  37. 729
  38. 200
  39. 602
  40. 108

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