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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 359 · 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 closed box is 11 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  2. 2.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 12 cm × 8 cm?
  3. 3.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)?
  4. 4.A pipe (a cylinder) has a radius of 7 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  5. 5.A pipe (a cylinder) has a radius of 14 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.A fish tank is 90 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A fish tank is 40 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.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)?
  9. 9.A closed box is 3 cm long, 10 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  10. 10.A box is 11 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  11. 11.A box is 5 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
  12. 12.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 12 cm × 12 cm?
  13. 13.A closed box is 11 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  14. 14.A closed box is 5 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  15. 15.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)?
  16. 16.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  17. 17.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 25 cm × 10 cm?
  18. 18.A fish tank is 70 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.A closed box is 5 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  20. 20.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 24 cm × 16 cm?
  21. 21.A pipe (a cylinder) has a radius of 7 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  22. 22.A cylinder has a radius of 14 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  23. 23.A closed box is 4 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  24. 24.A closed box is 6 cm long, 10 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  25. 25.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)?
  26. 26.A fish tank is 120 cm long, 30 cm wide and 70 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 14 cm. What is its total surface area (in sq cm)?
  28. 28.A cylinder has a radius of 21 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.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)?
  30. 30.A fish tank is 100 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  31. 31.A fish tank is 120 cm long, 40 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A fish tank is 80 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.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 8 cm × 10 cm?
  34. 34.A closed box is 15 cm long, 13 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  35. 35.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)?
  36. 36.A box is 12 cm long, 9 cm wide and 2 cm high. What is its volume (in cubic cm)?
  37. 37.A fish tank is 40 cm long, 30 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic 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 closed box is 3 cm long, 11 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  40. 40.A box is 20 cm long, 5 cm wide and 4 cm high. What is its volume (in cubic cm)?

Answer key

  1. 356
  2. 36
  3. 2464
  4. 792
  5. 1496
  6. 108
  7. 120
  8. 484
  9. 190
  10. 198
  11. 210
  12. 45
  13. 334
  14. 160
  15. 24948
  16. 24
  17. 20
  18. 147
  19. 250
  20. 144
  21. 396
  22. 10472
  23. 100
  24. 248
  25. 572
  26. 252
  27. 1176
  28. 15246
  29. 22176
  30. 500
  31. 144
  32. 648
  33. 120
  34. 1006
  35. 2002
  36. 216
  37. 96
  38. 704
  39. 262
  40. 400

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