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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 145 · 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, 9 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  2. 2.A closed box is 6 cm long, 4 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  3. 3.A fish tank is 80 cm long, 40 cm wide and 20 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 5 cm. What is its volume (in cubic cm)?
  5. 5.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 15 cm × 25 cm?
  6. 6.A box is 11 cm long, 15 cm wide and 4 cm high. What is its volume (in cubic cm)?
  7. 7.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  8. 8.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  9. 9.A pipe (a cylinder) has a radius of 14 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  10. 10.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 30 cm × 15 cm?
  11. 11.A box is 15 cm long, 6 cm wide and 6 cm high. What is its volume (in cubic cm)?
  12. 12.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)?
  13. 13.A fish tank is 100 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
  16. 16.A pipe (a cylinder) has a radius of 14 cm and a length of 3 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  17. 17.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  18. 18.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  19. 19.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  21. 21.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 18 cm × 18 cm?
  22. 22.A closed box is 5 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  23. 23.A box is 13 cm long, 7 cm wide and 8 cm high. What is its volume (in cubic cm)?
  24. 24.A closed box is 6 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  25. 25.A fish tank is 50 cm long, 70 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.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)?
  27. 27.A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  28. 28.A closed box is 17 cm long, 10 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  29. 29.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  30. 30.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 8 cm?
  31. 31.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  32. 32.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  33. 33.A cube has an edge of 8 cm. What is its total surface area (in sq cm)?
  34. 34.A box is 15 cm long, 8 cm wide and 11 cm high. What is its volume (in cubic cm)?
  35. 35.A fish tank is 80 cm long, 80 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A fish tank is 110 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  37. 37.A closed box is 5 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  38. 38.A fish tank is 40 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 20 cm × 16 cm?
  40. 40.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?

Answer key

  1. 202
  2. 228
  3. 64
  4. 125
  5. 75
  6. 660
  7. 24
  8. 440
  9. 1056
  10. 90
  11. 540
  12. 352
  13. 800
  14. 1014
  15. 8
  16. 264
  17. 864
  18. 44
  19. 264
  20. 216
  21. 144
  22. 132
  23. 728
  24. 378
  25. 315
  26. 880
  27. 1540
  28. 988
  29. 220
  30. 30
  31. 1331
  32. 54
  33. 384
  34. 1320
  35. 448
  36. 330
  37. 202
  38. 288
  39. 80
  40. 96

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