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Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 390 · 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 cube has an edge of 5 cm. What is its volume (in cubic cm)?
  2. 2.A cube has an edge of 5 cm. What is its total surface area (in sq cm)?
  3. 3.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A box is 5 cm long, 3 cm wide and 9 cm high. What is its volume (in cubic cm)?
  5. 5.A cylinder has a radius of 21 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  6. 6.A pipe (a cylinder) has a radius of 14 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 10 cm × 10 cm?
  8. 8.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  9. 9.A box is 20 cm long, 7 cm wide and 8 cm high. What is its volume (in cubic cm)?
  10. 10.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A closed box is 9 cm long, 14 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  12. 12.A fish tank is 110 cm long, 100 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  13. 13.A fish tank is 70 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  15. 15.A cylinder has a radius of 14 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  16. 16.A closed box is 15 cm long, 13 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  17. 17.A closed box is 4 cm long, 12 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  18. 18.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  19. 19.A box is 12 cm long, 10 cm wide and 4 cm high. What is its volume (in cubic cm)?
  20. 20.A box is 5 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
  21. 21.A closed box is 9 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  22. 22.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 16 cm × 16 cm?
  23. 23.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)?
  24. 24.A box is 9 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
  25. 25.A fish tank is 70 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  26. 26.A fish tank is 90 cm long, 100 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A closed box is 14 cm long, 6 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  28. 28.A box is 14 cm long, 10 cm wide and 6 cm high. What is its volume (in cubic cm)?
  29. 29.A closed box is 13 cm long, 5 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  30. 30.A cylinder has a radius of 14 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
  31. 31.A cylinder has a radius of 14 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  32. 32.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  33. 33.A fish tank is 60 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 25 cm × 10 cm?
  35. 35.A closed box is 5 cm long, 14 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  36. 36.A box is 10 cm long, 5 cm wide and 8 cm high. What is its volume (in cubic cm)?
  37. 37.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 6 cm?
  38. 38.A cylinder has a radius of 7 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
  39. 39.A box is 20 cm long, 10 cm wide and 3 cm high. What is its volume (in cubic cm)?
  40. 40.A fish tank is 40 cm long, 100 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)

Answer key

  1. 125
  2. 150
  3. 352
  4. 135
  5. 6930
  6. 616
  7. 8
  8. 216
  9. 1120
  10. 3080
  11. 528
  12. 550
  13. 378
  14. 729
  15. 8624
  16. 838
  17. 288
  18. 1331
  19. 480
  20. 210
  21. 230
  22. 48
  23. 2464
  24. 540
  25. 245
  26. 180
  27. 528
  28. 840
  29. 382
  30. 6776
  31. 9856
  32. 1350
  33. 192
  34. 60
  35. 444
  36. 400
  37. 24
  38. 2310
  39. 600
  40. 320

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