← Volume and surface area lesson New set →

Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 481 · 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 fish tank is 60 cm long, 80 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.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)?
  3. 3.A cube has an edge of 11 cm. What is its volume (in cubic cm)?
  4. 4.A fish tank is 110 cm long, 50 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  5. 5.A box is 12 cm long, 9 cm wide and 10 cm high. What is its volume (in cubic cm)?
  6. 6.A fish tank is 100 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  7. 7.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 20 cm × 16 cm?
  8. 8.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)?
  9. 9.A fish tank is 70 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  10. 10.A pipe (a cylinder) has a radius of 7 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A closed box is 12 cm long, 2 cm wide and 9 cm high. What is its total surface area (in sq cm)?
  12. 12.A closed box is 14 cm long, 12 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  13. 13.A pipe (a cylinder) has a radius of 7 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.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)?
  15. 15.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 25 cm × 30 cm?
  16. 16.A closed box is 11 cm long, 11 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  17. 17.A fish tank is 30 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  18. 18.A closed box is 20 cm long, 3 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  19. 19.A closed box is 20 cm long, 3 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  20. 20.A cylinder has a radius of 14 cm and a height of 12 cm. What is its volume (take π = 22/7; in cubic cm)?
  21. 21.A closed box is 6 cm long, 9 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  22. 22.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)?
  23. 23.A pipe (a cylinder) has a radius of 3 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  24. 24.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  25. 25.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 25 cm × 25 cm?
  26. 26.A closed box is 4 cm long, 4 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  27. 27.A cylinder has a radius of 7 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
  28. 28.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 24 cm × 8 cm?
  29. 29.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
  30. 30.A closed box is 10 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  31. 31.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  32. 32.A closed box is 19 cm long, 10 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  33. 33.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)?
  34. 34.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 12 cm × 18 cm?
  36. 36.A pipe (a cylinder) has a radius of 11 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  37. 37.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)?
  38. 38.A closed box is 12 cm long, 13 cm wide and 3 cm high. What is its total surface area (in sq cm)?
  39. 39.A closed box is 4 cm long, 2 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  40. 40.A closed box is 18 cm long, 2 cm wide and 7 cm high. What is its total surface area (in sq cm)?

Answer key

  1. 288
  2. 6776
  3. 1331
  4. 330
  5. 1080
  6. 210
  7. 60
  8. 1848
  9. 168
  10. 176
  11. 300
  12. 908
  13. 572
  14. 2618
  15. 90
  16. 374
  17. 30
  18. 442
  19. 672
  20. 7392
  21. 198
  22. 176
  23. 264
  24. 96
  25. 150
  26. 192
  27. 770
  28. 48
  29. 1176
  30. 242
  31. 3375
  32. 554
  33. 440
  34. 352
  35. 48
  36. 484
  37. 748
  38. 462
  39. 64
  40. 352

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