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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 355 · 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 7 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  2. 2.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  3. 3.A fish tank is 120 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  4. 4.A closed box is 15 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  5. 5.A cylinder has a radius of 7 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  7. 7.A closed box is 18 cm long, 6 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  8. 8.A closed box is 5 cm long, 4 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  9. 9.A fish tank is 80 cm long, 50 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 12 cm?
  11. 11.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  12. 12.A cylinder has a radius of 7 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
  13. 13.A closed box is 3 cm long, 14 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  14. 14.A fish tank is 120 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  15. 15.A closed box is 17 cm long, 2 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  16. 16.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 12 cm?
  17. 17.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A fish tank is 100 cm long, 70 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A box is 4 cm long, 10 cm wide and 9 cm high. What is its volume (in cubic cm)?
  20. 20.A fish tank is 90 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.A box is 5 cm long, 9 cm wide and 9 cm high. What is its volume (in cubic cm)?
  22. 22.A closed box is 17 cm long, 15 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  23. 23.A box is 12 cm long, 7 cm wide and 9 cm high. What is its volume (in cubic cm)?
  24. 24.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  25. 25.A fish tank is 50 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A closed box is 3 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  27. 27.A fish tank is 50 cm long, 30 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A fish tank is 30 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A pipe (a cylinder) has a radius of 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  30. 30.A box is 18 cm long, 4 cm wide and 4 cm high. What is its volume (in cubic cm)?
  31. 31.A closed box is 6 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  32. 32.A box is 3 cm long, 14 cm wide and 4 cm high. What is its volume (in cubic cm)?
  33. 33.A closed box is 7 cm long, 10 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  34. 34.A fish tank is 120 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 10 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  36. 36.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.A box is 5 cm long, 14 cm wide and 4 cm high. What is its volume (in cubic cm)?
  38. 38.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  40. 40.A cylinder has a radius of 14 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 484
  2. 528
  3. 504
  4. 234
  5. 2002
  6. 22176
  7. 696
  8. 130
  9. 80
  10. 108
  11. 1331
  12. 1386
  13. 356
  14. 192
  15. 182
  16. 120
  17. 264
  18. 490
  19. 360
  20. 252
  21. 405
  22. 1278
  23. 756
  24. 64
  25. 100
  26. 302
  27. 30
  28. 54
  29. 792
  30. 288
  31. 516
  32. 168
  33. 446
  34. 168
  35. 500
  36. 19404
  37. 280
  38. 2772
  39. 24
  40. 4312

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