← Volume and surface area lesson New set →

Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 129 · 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 7 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
  2. 2.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)?
  3. 3.A box is 8 cm long, 4 cm wide and 5 cm high. What is its volume (in cubic cm)?
  4. 4.A closed box is 4 cm long, 2 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  5. 5.A closed box is 7 cm long, 12 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  6. 6.A fish tank is 40 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.A closed box is 8 cm long, 4 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  8. 8.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 24 cm × 16 cm?
  9. 9.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 9 cm?
  10. 10.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  11. 11.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)?
  12. 12.A closed box is 7 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  13. 13.A box is 3 cm long, 10 cm wide and 7 cm high. What is its volume (in cubic cm)?
  14. 14.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)
  15. 15.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 12 cm × 4 cm?
  16. 16.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 6 cm × 6 cm?
  17. 17.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  18. 18.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)?
  19. 19.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 4 cm × 6 cm?
  20. 20.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 15 cm × 30 cm?
  21. 21.A cylinder has a radius of 7 cm and a height of 17 cm. What is its volume (take π = 22/7; in cubic cm)?
  22. 22.A box is 7 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
  23. 23.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)?
  24. 24.A pipe (a cylinder) has a radius of 14 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  25. 25.A cylinder has a radius of 21 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.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)?
  27. 27.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  28. 28.A cylinder has a radius of 7 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  29. 29.A cube has an edge of 9 cm. What is its total surface area (in sq cm)?
  30. 30.A closed box is 12 cm long, 12 cm wide and 6 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 4 cm × 4 cm × 4 cm?
  32. 32.A box is 13 cm long, 6 cm wide and 2 cm high. What is its volume (in cubic cm)?
  33. 33.A closed box is 4 cm long, 4 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  34. 34.A closed box is 17 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  35. 35.A closed box is 13 cm long, 6 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  36. 36.A pipe (a cylinder) has a radius of 5 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  37. 37.A closed box is 3 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
  38. 38.A fish tank is 70 cm long, 40 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  39. 39.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 18 cm?
  40. 40.A cylinder has a radius of 7 cm and a height of 8 cm. What is its volume (take π = 22/7; in cubic cm)?

Answer key

  1. 1078
  2. 704
  3. 160
  4. 148
  5. 434
  6. 36
  7. 160
  8. 120
  9. 90
  10. 216
  11. 22176
  12. 320
  13. 210
  14. 550
  15. 36
  16. 8
  17. 343
  18. 748
  19. 30
  20. 54
  21. 2618
  22. 308
  23. 4928
  24. 880
  25. 8316
  26. 2464
  27. 294
  28. 2772
  29. 486
  30. 576
  31. 8
  32. 156
  33. 112
  34. 556
  35. 270
  36. 220
  37. 92
  38. 140
  39. 36
  40. 1232

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