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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 262 · 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 30 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 6 cm?
  3. 3.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 6 cm × 18 cm?
  4. 4.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)?
  5. 5.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  6. 6.A closed box is 9 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  7. 7.A fish tank is 40 cm long, 60 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A closed box is 4 cm long, 9 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  9. 9.A closed box is 19 cm long, 11 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  10. 10.A cube has an edge of 13 cm. What is its total surface area (in sq cm)?
  11. 11.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  12. 12.A closed box is 9 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  13. 13.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)?
  14. 14.A fish tank is 40 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 12 cm × 8 cm?
  16. 16.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  17. 17.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 20 cm × 20 cm?
  18. 18.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)?
  19. 19.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 18 cm × 12 cm?
  20. 20.A fish tank is 30 cm long, 30 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A closed box is 16 cm long, 15 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  22. 22.A box is 16 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  23. 23.A box is 10 cm long, 6 cm wide and 10 cm high. What is its volume (in cubic cm)?
  24. 24.A pipe (a cylinder) has a radius of 7 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A box is 11 cm long, 15 cm wide and 10 cm high. What is its volume (in cubic cm)?
  26. 26.A fish tank is 30 cm long, 100 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  28. 28.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  29. 29.A fish tank is 110 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A box is 16 cm long, 10 cm wide and 7 cm high. What is its volume (in cubic cm)?
  31. 31.A cylinder has a radius of 7 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  32. 32.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)?
  33. 33.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  34. 34.A fish tank is 110 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A closed box is 14 cm long, 4 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  36. 36.A closed box is 11 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  37. 37.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.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)?
  39. 39.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.A closed box is 7 cm long, 2 cm wide and 6 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 45
  2. 54
  3. 60
  4. 1144
  5. 1176
  6. 150
  7. 72
  8. 254
  9. 1018
  10. 1014
  11. 616
  12. 228
  13. 1144
  14. 80
  15. 48
  16. 24948
  17. 150
  18. 572
  19. 48
  20. 90
  21. 666
  22. 528
  23. 600
  24. 660
  25. 1650
  26. 180
  27. 8
  28. 216
  29. 220
  30. 1120
  31. 1078
  32. 9240
  33. 3375
  34. 154
  35. 292
  36. 746
  37. 2464
  38. 1540
  39. 704
  40. 136

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