← Volume and surface area lesson New set →

Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 473 · 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 100 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
  3. 3.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
  4. 4.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)?
  5. 5.A fish tank is 90 cm long, 80 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  6. 6.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)?
  7. 7.A fish tank is 60 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  8. 8.A fish tank is 30 cm long, 80 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.A closed box is 3 cm long, 9 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  10. 10.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  11. 11.A cube has an edge of 4 cm. What is its total surface area (in sq cm)?
  12. 12.A closed box is 17 cm long, 14 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  13. 13.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  14. 14.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 4 cm × 6 cm?
  15. 15.A closed box is 7 cm long, 14 cm wide and 7 cm high. What is its total surface area (in sq cm)?
  16. 16.A closed box is 6 cm long, 5 cm wide and 11 cm high. What is its total surface area (in sq cm)?
  17. 17.A pipe (a cylinder) has a radius of 11 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  19. 19.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  20. 20.A fish tank is 40 cm long, 60 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  21. 21.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 8 cm × 20 cm?
  22. 22.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
  23. 23.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
  24. 24.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)?
  25. 25.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 10 cm × 10 cm?
  26. 26.A fish tank is 120 cm long, 70 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  27. 27.A fish tank is 120 cm long, 60 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  28. 28.A fish tank is 80 cm long, 40 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  29. 29.A box is 12 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
  30. 30.A closed box is 18 cm long, 4 cm wide and 5 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 6 cm × 18 cm × 9 cm?
  32. 32.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
  33. 33.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 10 cm × 30 cm?
  34. 34.A pipe (a cylinder) has a radius of 4 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  35. 35.A cylinder has a radius of 21 cm and a height of 18 cm. What is its volume (take π = 22/7; in cubic cm)?
  36. 36.How many cubes of edge 4 cm fit exactly in a box that is 24 cm × 24 cm × 12 cm?
  37. 37.A box is 8 cm long, 15 cm wide and 10 cm high. What is its volume (in cubic cm)?
  38. 38.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 12 cm × 15 cm?
  39. 39.A pipe (a cylinder) has a radius of 6 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  40. 40.A cube has an edge of 10 cm. What is its volume (in cubic cm)?

Answer key

  1. 350
  2. 864
  3. 2197
  4. 2618
  5. 360
  6. 1760
  7. 324
  8. 48
  9. 294
  10. 528
  11. 96
  12. 786
  13. 1056
  14. 12
  15. 490
  16. 302
  17. 968
  18. 264
  19. 176
  20. 216
  21. 20
  22. 216
  23. 3375
  24. 1078
  25. 125
  26. 504
  27. 288
  28. 256
  29. 360
  30. 364
  31. 36
  32. 343
  33. 60
  34. 352
  35. 24948
  36. 108
  37. 1200
  38. 100
  39. 264
  40. 1000

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