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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 495 · 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 90 cm long, 70 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A fish tank is 90 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A fish tank is 50 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A box is 5 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?
  5. 5.A fish tank is 40 cm long, 20 cm wide and 60 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, 60 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A fish tank is 60 cm long, 100 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 4 cm?
  9. 9.A box is 15 cm long, 8 cm wide and 6 cm high. What is its volume (in cubic cm)?
  10. 10.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  11. 11.A closed box is 18 cm long, 9 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  12. 12.A closed box is 18 cm long, 3 cm wide and 3 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 16 cm × 20 cm × 16 cm?
  14. 14.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)?
  15. 15.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  16. 16.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)?
  17. 17.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  18. 18.A fish tank is 90 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  20. 20.A box is 11 cm long, 3 cm wide and 5 cm high. What is its volume (in cubic cm)?
  21. 21.A fish tank is 60 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A fish tank is 110 cm long, 30 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  23. 23.A fish tank is 60 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic 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 box is 16 cm long, 5 cm wide and 9 cm high. What is its volume (in cubic cm)?
  26. 26.A closed box is 16 cm long, 3 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  27. 27.A closed box is 7 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  28. 28.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.A closed box is 18 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  30. 30.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 15 cm?
  31. 31.A box is 14 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?
  32. 32.A pipe (a cylinder) has a radius of 14 cm and a length of 2 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  33. 33.A closed box is 9 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  34. 34.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  35. 35.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  36. 36.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)?
  37. 37.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  38. 38.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 12 cm?
  39. 39.A box is 12 cm long, 13 cm wide and 7 cm high. What is its volume (in cubic cm)?
  40. 40.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)?

Answer key

  1. 630
  2. 162
  3. 90
  4. 150
  5. 48
  6. 144
  7. 420
  8. 8
  9. 720
  10. 8
  11. 432
  12. 234
  13. 80
  14. 352
  15. 1331
  16. 18018
  17. 64
  18. 576
  19. 294
  20. 165
  21. 96
  22. 297
  23. 378
  24. 1232
  25. 720
  26. 286
  27. 190
  28. 924
  29. 312
  30. 40
  31. 280
  32. 176
  33. 384
  34. 9240
  35. 1056
  36. 1540
  37. 1176
  38. 24
  39. 1092
  40. 1408

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