← Volume and surface area lesson New set →

Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 471 · 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 cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.A closed box is 12 cm long, 3 cm wide and 6 cm high. What is its total surface area (in sq cm)?
  3. 3.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 4 cm × 4 cm?
  4. 4.A box is 13 cm long, 7 cm wide and 6 cm high. What is its volume (in cubic cm)?
  5. 5.A closed box is 5 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  6. 6.A pipe (a cylinder) has a radius of 7 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  7. 7.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)?
  8. 8.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 10 cm × 15 cm?
  9. 9.A cylinder has a radius of 14 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?
  10. 10.A closed box is 19 cm long, 13 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  11. 11.A closed box is 10 cm long, 13 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  12. 12.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  13. 13.A box is 18 cm long, 3 cm wide and 12 cm high. What is its volume (in cubic cm)?
  14. 14.A closed box is 10 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  15. 15.A closed box is 9 cm long, 9 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  16. 16.A closed box is 12 cm long, 5 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  17. 17.A closed box is 11 cm long, 5 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  18. 18.A box is 5 cm long, 13 cm wide and 3 cm high. What is its volume (in cubic cm)?
  19. 19.A fish tank is 110 cm long, 60 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  20. 20.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)?
  21. 21.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 30 cm × 10 cm?
  22. 22.A pipe (a cylinder) has a radius of 7 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  23. 23.A box is 18 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
  24. 24.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)?
  25. 25.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 24 cm × 24 cm?
  26. 26.A closed box is 15 cm long, 9 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  27. 27.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  28. 28.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.A box is 16 cm long, 7 cm wide and 10 cm high. What is its volume (in cubic cm)?
  30. 30.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  31. 31.A box is 9 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
  32. 32.A box is 18 cm long, 14 cm wide and 2 cm high. What is its volume (in cubic cm)?
  33. 33.A closed box is 7 cm long, 6 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  34. 34.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 8 cm?
  35. 35.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 16 cm × 8 cm?
  36. 36.A box is 4 cm long, 9 cm wide and 4 cm high. What is its volume (in cubic cm)?
  37. 37.A closed box is 9 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  38. 38.A fish tank is 40 cm long, 40 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.A closed box is 14 cm long, 13 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  40. 40.A cube has an edge of 11 cm. What is its volume (in cubic cm)?

Answer key

  1. 22176
  2. 252
  3. 12
  4. 546
  5. 142
  6. 704
  7. 6930
  8. 18
  9. 4928
  10. 1134
  11. 674
  12. 96
  13. 648
  14. 310
  15. 342
  16. 290
  17. 430
  18. 195
  19. 594
  20. 616
  21. 72
  22. 440
  23. 648
  24. 3080
  25. 180
  26. 702
  27. 343
  28. 3080
  29. 1120
  30. 216
  31. 54
  32. 504
  33. 162
  34. 60
  35. 16
  36. 144
  37. 150
  38. 96
  39. 634
  40. 1331

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