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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 2 · 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).

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  1. 1.A fish tank is 110 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A box is 10 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
  3. 3.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)?
  4. 4.A closed box is 17 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  5. 5.A box is 14 cm long, 11 cm wide and 8 cm high. What is its volume (in cubic cm)?
  6. 6.A fish tank is 90 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A fish tank is 50 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A box is 5 cm long, 13 cm wide and 11 cm high. What is its volume (in cubic cm)?
  9. 9.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  10. 10.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)?
  11. 11.A closed box is 3 cm long, 10 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  12. 12.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  13. 13.A closed box is 19 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  14. 14.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  15. 15.A cylinder has a radius of 21 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A box is 8 cm long, 5 cm wide and 3 cm high. What is its volume (in cubic cm)?
  17. 17.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 6 cm?
  18. 18.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)?
  19. 19.A closed box is 19 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  20. 20.A box is 4 cm long, 6 cm wide and 7 cm high. What is its volume (in cubic cm)?
  21. 21.A closed box is 7 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  22. 22.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)?
  23. 23.A closed box is 7 cm long, 7 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  24. 24.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.A box is 4 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
  27. 27.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  28. 28.A fish tank is 80 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 18 cm × 15 cm?
  30. 30.A fish tank is 80 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A box is 11 cm long, 3 cm wide and 4 cm high. What is its volume (in cubic cm)?
  32. 32.A fish tank is 90 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  34. 34.A closed box is 5 cm long, 10 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  35. 35.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  36. 36.A box is 9 cm long, 8 cm wide and 10 cm high. What is its volume (in cubic cm)?
  37. 37.A closed box is 9 cm long, 9 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  38. 38.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  39. 39.A box is 13 cm long, 3 cm wide and 4 cm high. What is its volume (in cubic cm)?
  40. 40.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 20 cm?

Answer key

  1. 99
  2. 900
  3. 20790
  4. 222
  5. 1232
  6. 54
  7. 120
  8. 715
  9. 1496
  10. 1760
  11. 112
  12. 54
  13. 290
  14. 176
  15. 18018
  16. 120
  17. 24
  18. 2002
  19. 842
  20. 168
  21. 136
  22. 13860
  23. 406
  24. 352
  25. 6776
  26. 100
  27. 1014
  28. 160
  29. 120
  30. 320
  31. 132
  32. 81
  33. 729
  34. 310
  35. 1350
  36. 720
  37. 378
  38. 352
  39. 156
  40. 24

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