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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 282 · 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 pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A fish tank is 80 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A fish tank is 30 cm long, 50 cm wide and 90 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 2 cm fit exactly in a box that is 8 cm × 4 cm × 6 cm?
  6. 6.A fish tank is 60 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  8. 8.A closed box is 13 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  9. 9.A box is 15 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
  10. 10.A box is 16 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
  11. 11.A closed box is 14 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  12. 12.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  13. 13.A closed box is 20 cm long, 4 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  14. 14.A fish tank is 120 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A pipe (a cylinder) has a radius of 13 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  16. 16.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 16 cm × 16 cm?
  17. 17.A box is 3 cm long, 14 cm wide and 7 cm high. What is its volume (in cubic cm)?
  18. 18.A closed box is 6 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  19. 19.A closed box is 7 cm long, 8 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  20. 20.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)?
  21. 21.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)?
  22. 22.A box is 16 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
  23. 23.A box is 16 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
  24. 24.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A fish tank is 60 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
  27. 27.A fish tank is 40 cm long, 20 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A fish tank is 110 cm long, 40 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 30 cm long, 90 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.A cube has an edge of 8 cm. What is its volume (in cubic cm)?
  31. 31.A fish tank is 120 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  33. 33.A pipe (a cylinder) has a radius of 7 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  34. 34.A fish tank is 100 cm long, 80 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  35. 35.A closed box is 10 cm long, 8 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  36. 36.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)?
  37. 37.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 8 cm?
  38. 38.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)?
  39. 39.A cylinder has a radius of 21 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)?
  40. 40.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)?

Answer key

  1. 1584
  2. 120
  3. 135
  4. 125
  5. 24
  6. 120
  7. 1350
  8. 206
  9. 945
  10. 1872
  11. 482
  12. 2197
  13. 400
  14. 420
  15. 572
  16. 32
  17. 294
  18. 184
  19. 472
  20. 2926
  21. 704
  22. 256
  23. 96
  24. 264
  25. 324
  26. 27
  27. 32
  28. 132
  29. 81
  30. 512
  31. 240
  32. 1176
  33. 616
  34. 640
  35. 412
  36. 440
  37. 20
  38. 704
  39. 13860
  40. 616

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