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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 92 · 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 19 cm long, 11 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  2. 2.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 10 cm × 12 cm?
  3. 3.A box is 12 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
  4. 4.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 10 cm × 4 cm?
  5. 5.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)?
  6. 6.A box is 7 cm long, 2 cm wide and 2 cm high. What is its volume (in cubic cm)?
  7. 7.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)?
  8. 8.A fish tank is 30 cm long, 20 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A box is 20 cm long, 6 cm wide and 3 cm high. What is its volume (in cubic cm)?
  10. 10.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  11. 11.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 12 cm × 9 cm?
  12. 12.A box is 11 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
  13. 13.A closed box is 4 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  14. 14.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  15. 15.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
  16. 16.A closed box is 11 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  17. 17.A box is 11 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
  18. 18.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  19. 19.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 20 cm × 16 cm?
  20. 20.A closed box is 16 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  21. 21.A cylinder has a radius of 7 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A closed box is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  23. 23.A box is 6 cm long, 4 cm wide and 8 cm high. What is its volume (in cubic cm)?
  24. 24.A fish tank is 30 cm long, 90 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  25. 25.A fish tank is 40 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.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)
  27. 27.How many cubes of edge 2 cm fit exactly in a box that is 12 cm × 4 cm × 6 cm?
  28. 28.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 18 cm × 18 cm?
  29. 29.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)?
  30. 30.A closed box is 19 cm long, 10 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  31. 31.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)?
  32. 32.A closed box is 15 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  33. 33.A closed box is 7 cm long, 15 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  34. 34.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 12 cm?
  36. 36.A box is 15 cm long, 11 cm wide and 6 cm high. What is its volume (in cubic cm)?
  37. 37.A closed box is 18 cm long, 4 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  38. 38.A pipe (a cylinder) has a radius of 2 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  39. 39.A box is 3 cm long, 11 cm wide and 10 cm high. What is its volume (in cubic cm)?
  40. 40.A box is 19 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?

Answer key

  1. 1018
  2. 180
  3. 600
  4. 50
  5. 660
  6. 28
  7. 616
  8. 60
  9. 360
  10. 1331
  11. 48
  12. 154
  13. 172
  14. 8
  15. 27
  16. 328
  17. 330
  18. 864
  19. 40
  20. 976
  21. 2464
  22. 160
  23. 192
  24. 135
  25. 24
  26. 315
  27. 36
  28. 72
  29. 2926
  30. 670
  31. 24948
  32. 590
  33. 386
  34. 64
  35. 72
  36. 990
  37. 232
  38. 176
  39. 330
  40. 1463

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