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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 341 · 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 box is 4 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  2. 2.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  3. 3.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 20 cm × 10 cm?
  5. 5.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  6. 6.A box is 18 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
  7. 7.A pipe (a cylinder) has a radius of 8 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  8. 8.A box is 16 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  9. 9.A box is 6 cm long, 6 cm wide and 12 cm high. What is its volume (in cubic cm)?
  10. 10.A box is 6 cm long, 8 cm wide and 4 cm high. What is its volume (in cubic cm)?
  11. 11.A closed box is 4 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  12. 12.A box is 4 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
  13. 13.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  15. 15.A closed box is 16 cm long, 9 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  16. 16.A fish tank is 100 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  17. 17.A fish tank is 40 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A pipe (a cylinder) has a radius of 14 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  19. 19.A box is 6 cm long, 5 cm wide and 6 cm high. What is its volume (in cubic cm)?
  20. 20.A closed box is 13 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  21. 21.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)?
  22. 22.A box is 12 cm long, 13 cm wide and 6 cm high. What is its volume (in cubic cm)?
  23. 23.A closed box is 9 cm long, 9 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  24. 24.A box is 6 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?
  25. 25.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  26. 26.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 8 cm?
  27. 27.A cube has an edge of 11 cm. What is its total surface area (in sq cm)?
  28. 28.A fish tank is 50 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A fish tank is 120 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A fish tank is 120 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 24 cm?
  32. 32.A fish tank is 100 cm long, 90 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  33. 33.A fish tank is 60 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A box is 5 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
  35. 35.A fish tank is 120 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A closed box is 6 cm long, 4 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  37. 37.A fish tank is 30 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 20 cm?
  39. 39.A box is 12 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
  40. 40.A pipe (a cylinder) has a radius of 13 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?

Answer key

  1. 200
  2. 24
  3. 176
  4. 24
  5. 1000
  6. 648
  7. 704
  8. 528
  9. 432
  10. 192
  11. 160
  12. 48
  13. 528
  14. 150
  15. 438
  16. 120
  17. 200
  18. 440
  19. 180
  20. 688
  21. 220
  22. 936
  23. 594
  24. 72
  25. 1014
  26. 120
  27. 726
  28. 105
  29. 864
  30. 72
  31. 48
  32. 810
  33. 240
  34. 80
  35. 648
  36. 268
  37. 105
  38. 24
  39. 288
  40. 1144

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