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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 446 · 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 box is 19 cm long, 4 cm wide and 7 cm high. What is its volume (in cubic cm)?
  2. 2.A closed box is 8 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  3. 3.A box is 14 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
  4. 4.A fish tank is 80 cm long, 30 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.A pipe (a cylinder) has a radius of 14 cm and a length of 11 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  6. 6.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 15 cm × 9 cm?
  7. 7.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)?
  8. 8.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  9. 9.A closed box is 19 cm long, 12 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  10. 10.A box is 12 cm long, 11 cm wide and 2 cm high. What is its volume (in cubic cm)?
  11. 11.A box is 17 cm long, 4 cm wide and 10 cm high. What is its volume (in cubic cm)?
  12. 12.A closed box is 5 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  13. 13.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  15. 15.A box is 3 cm long, 5 cm wide and 5 cm high. What is its volume (in cubic cm)?
  16. 16.A closed box is 5 cm long, 15 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  17. 17.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  18. 18.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)
  19. 19.A cube has an edge of 12 cm. What is its volume (in cubic cm)?
  20. 20.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 6 cm?
  21. 21.A fish tank is 110 cm long, 40 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.A box is 12 cm long, 4 cm wide and 2 cm high. What is its volume (in cubic cm)?
  23. 23.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 15 cm?
  24. 24.A closed box is 18 cm long, 12 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  25. 25.A box is 10 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
  26. 26.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 8 cm × 16 cm?
  27. 27.A closed box is 11 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  28. 28.A box is 11 cm long, 9 cm wide and 7 cm high. What is its volume (in cubic cm)?
  29. 29.A fish tank is 50 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  30. 30.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)?
  31. 31.A fish tank is 30 cm long, 30 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  32. 32.A box is 7 cm long, 7 cm wide and 4 cm high. What is its volume (in cubic cm)?
  33. 33.A fish tank is 50 cm long, 90 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  36. 36.A cylinder has a radius of 7 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
  37. 37.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 12 cm × 6 cm?
  38. 38.A box is 18 cm long, 7 cm wide and 2 cm high. What is its volume (in cubic cm)?
  39. 39.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
  40. 40.A box is 6 cm long, 15 cm wide and 2 cm high. What is its volume (in cubic cm)?

Answer key

  1. 532
  2. 136
  3. 350
  4. 96
  5. 968
  6. 45
  7. 572
  8. 294
  9. 890
  10. 264
  11. 680
  12. 310
  13. 132
  14. 216
  15. 75
  16. 430
  17. 1350
  18. 54
  19. 1728
  20. 54
  21. 176
  22. 96
  23. 30
  24. 1032
  25. 260
  26. 32
  27. 148
  28. 693
  29. 60
  30. 616
  31. 45
  32. 196
  33. 180
  34. 792
  35. 343
  36. 462
  37. 16
  38. 252
  39. 8
  40. 180

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