← Volume and surface area lesson New set →

Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 150 · 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).

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

Answer key

  1. 40
  2. 96
  3. 176
  4. 150
  5. 315
  6. 216
  7. 770
  8. 660
  9. 72
  10. 144
  11. 110
  12. 440
  13. 1848
  14. 189
  15. 96
  16. 280
  17. 308
  18. 60
  19. 328
  20. 486
  21. 150
  22. 1536
  23. 1000
  24. 648
  25. 96
  26. 192
  27. 294
  28. 72
  29. 440
  30. 152
  31. 150
  32. 748
  33. 200
  34. 60
  35. 9856
  36. 36
  37. 72
  38. 120
  39. 192
  40. 1848

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude