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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 560 · 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 70 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A box is 13 cm long, 9 cm wide and 9 cm high. What is its volume (in cubic cm)?
  3. 3.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  4. 4.A closed box is 16 cm long, 12 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  5. 5.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)?
  6. 6.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 12 cm?
  7. 7.A box is 7 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
  8. 8.A closed box is 9 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  9. 9.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 10 cm?
  10. 10.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 4 cm?
  11. 11.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  12. 12.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  13. 13.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)?
  14. 14.A fish tank is 120 cm long, 20 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 80 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 10 cm?
  17. 17.A closed box is 17 cm long, 15 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  18. 18.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 10 cm × 10 cm?
  19. 19.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.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)?
  21. 21.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.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)
  23. 23.A closed box is 5 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  24. 24.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 8 cm?
  25. 25.A pipe (a cylinder) has a radius of 10 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  26. 26.A fish tank is 50 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 10 cm?
  28. 28.A box is 9 cm long, 15 cm wide and 10 cm high. What is its volume (in cubic cm)?
  29. 29.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  30. 30.A closed box is 14 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  31. 31.A box is 4 cm long, 6 cm wide and 11 cm high. What is its volume (in cubic cm)?
  32. 32.A box is 14 cm long, 2 cm wide and 9 cm high. What is its volume (in cubic cm)?
  33. 33.A box is 15 cm long, 2 cm wide and 10 cm high. What is its volume (in cubic cm)?
  34. 34.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)?
  35. 35.A closed box is 6 cm long, 7 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  36. 36.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 8 cm?
  37. 37.A closed box is 18 cm long, 3 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  38. 38.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 12 cm?
  39. 39.A closed box is 12 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  40. 40.A box is 4 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?

Answer key

  1. 168
  2. 1053
  3. 864
  4. 496
  5. 20790
  6. 48
  7. 336
  8. 124
  9. 24
  10. 40
  11. 1176
  12. 729
  13. 220
  14. 48
  15. 112
  16. 20
  17. 1150
  18. 24
  19. 572
  20. 308
  21. 1144
  22. 320
  23. 310
  24. 18
  25. 440
  26. 75
  27. 40
  28. 1350
  29. 726
  30. 152
  31. 264
  32. 252
  33. 300
  34. 2926
  35. 318
  36. 48
  37. 570
  38. 72
  39. 460
  40. 88

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