← Volume and surface area lesson New set →

Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 540 · 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.A box is 5 cm long, 14 cm wide and 11 cm high. What is its volume (in cubic cm)?
  2. 2.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  3. 3.A box is 15 cm long, 6 cm wide and 3 cm high. What is its volume (in cubic cm)?
  4. 4.A closed box is 4 cm long, 12 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  5. 5.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 15 cm × 18 cm?
  6. 6.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 10 cm?
  7. 7.A fish tank is 50 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A closed box is 6 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  9. 9.A box is 16 cm long, 3 cm wide and 8 cm high. What is its volume (in cubic cm)?
  10. 10.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  11. 11.A box is 3 cm long, 3 cm wide and 9 cm high. What is its volume (in cubic cm)?
  12. 12.A box is 20 cm long, 2 cm wide and 4 cm high. What is its volume (in cubic cm)?
  13. 13.A closed box is 7 cm long, 13 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  14. 14.A box is 9 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
  15. 15.A fish tank is 30 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  16. 16.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 10 cm × 10 cm?
  17. 17.A closed box is 8 cm long, 10 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  18. 18.A box is 8 cm long, 3 cm wide and 11 cm high. What is its volume (in cubic cm)?
  19. 19.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
  20. 20.A box is 3 cm long, 7 cm wide and 11 cm high. What is its volume (in cubic cm)?
  21. 21.A box is 11 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
  22. 22.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  23. 23.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)?
  24. 24.A cylinder has a radius of 21 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
  25. 25.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 8 cm × 10 cm?
  26. 26.A box is 6 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
  27. 27.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
  28. 28.A fish tank is 70 cm long, 80 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A closed box is 5 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  30. 30.A closed box is 3 cm long, 6 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  31. 31.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 15 cm?
  32. 32.A box is 5 cm long, 8 cm wide and 5 cm high. What is its volume (in cubic cm)?
  33. 33.A cylinder has a radius of 21 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  34. 34.A pipe (a cylinder) has a radius of 14 cm and a length of 20 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.A box is 8 cm long, 14 cm wide and 10 cm high. What is its volume (in cubic cm)?
  36. 36.A closed box is 10 cm long, 13 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  37. 37.A fish tank is 40 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  38. 38.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 18 cm × 12 cm?
  39. 39.A fish tank is 50 cm long, 70 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  40. 40.A box is 13 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?

Answer key

  1. 770
  2. 24
  3. 270
  4. 480
  5. 120
  6. 12
  7. 105
  8. 168
  9. 384
  10. 54
  11. 81
  12. 160
  13. 262
  14. 432
  15. 162
  16. 100
  17. 520
  18. 264
  19. 729
  20. 231
  21. 770
  22. 44
  23. 6776
  24. 2772
  25. 80
  26. 180
  27. 1350
  28. 560
  29. 78
  30. 144
  31. 30
  32. 200
  33. 16632
  34. 1760
  35. 1120
  36. 582
  37. 140
  38. 72
  39. 70
  40. 156

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