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Volume and Surface Area Worksheet

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

Answer key

  1. 118
  2. 125
  3. 294
  4. 8
  5. 320
  6. 64
  7. 20
  8. 2156
  9. 816
  10. 168
  11. 40
  12. 604
  13. 6160
  14. 2002
  15. 446
  16. 484
  17. 2197
  18. 662
  19. 320
  20. 60
  21. 1728
  22. 490
  23. 440
  24. 99
  25. 314
  26. 150
  27. 264
  28. 1848
  29. 1320
  30. 454
  31. 162
  32. 462
  33. 216
  34. 108
  35. 90
  36. 132
  37. 30
  38. 600
  39. 1014
  40. 672

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