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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 565 · 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 18 cm long, 4 cm wide and 11 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 20 cm × 24 cm × 16 cm?
  3. 3.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)?
  4. 4.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
  5. 5.A closed box is 5 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  6. 6.A box is 17 cm long, 13 cm wide and 7 cm high. What is its volume (in cubic cm)?
  7. 7.A fish tank is 50 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A fish tank is 70 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  10. 10.A box is 6 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
  11. 11.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  12. 12.A box is 15 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
  13. 13.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.A closed box is 7 cm long, 6 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  15. 15.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  16. 16.A closed box is 4 cm long, 6 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  17. 17.A closed box is 14 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  18. 18.A fish tank is 50 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  19. 19.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 12 cm?
  20. 20.A closed box is 17 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  21. 21.A closed box is 9 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  22. 22.A closed box is 9 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  23. 23.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  24. 24.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 12 cm?
  25. 25.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 4 cm?
  26. 26.A closed box is 19 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  27. 27.A box is 16 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
  28. 28.A box is 6 cm long, 3 cm wide and 4 cm high. What is its volume (in cubic cm)?
  29. 29.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  30. 30.A closed box is 13 cm long, 5 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  31. 31.A closed box is 17 cm long, 9 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  32. 32.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 8 cm?
  33. 33.A box is 4 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  34. 34.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 10 cm?
  35. 35.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 15 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.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
  38. 38.A box is 10 cm long, 8 cm wide and 8 cm high. What is its volume (in cubic cm)?
  39. 39.A closed box is 16 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  40. 40.A fish tank is 40 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 628
  2. 120
  3. 1540
  4. 125
  5. 184
  6. 1547
  7. 175
  8. 315
  9. 729
  10. 252
  11. 24
  12. 405
  13. 748
  14. 214
  15. 1056
  16. 108
  17. 580
  18. 140
  19. 24
  20. 372
  21. 804
  22. 228
  23. 352
  24. 48
  25. 18
  26. 474
  27. 576
  28. 72
  29. 3375
  30. 346
  31. 722
  32. 32
  33. 176
  34. 16
  35. 60
  36. 440
  37. 5544
  38. 640
  39. 538
  40. 60

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