← Volume and surface area lesson New set →

Volume and Surface Area Worksheet

Quantitative aptitude lesson 26: Volume and surface area · Set 403 · 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 80 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  2. 2.A fish tank is 120 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  3. 3.A pipe (a cylinder) has a radius of 14 cm and a length of 13 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  4. 4.A closed box is 7 cm long, 12 cm wide and 10 cm high. What is its total surface area (in sq cm)?
  5. 5.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)?
  6. 6.A cube has an edge of 10 cm. What is its volume (in cubic cm)?
  7. 7.A closed box is 7 cm long, 2 cm wide and 12 cm high. What is its total surface area (in sq cm)?
  8. 8.A fish tank is 100 cm long, 80 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  9. 9.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 4 cm?
  10. 10.A cylinder has a radius of 14 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  11. 11.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
  12. 12.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)?
  13. 13.A fish tank is 40 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  14. 14.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
  15. 15.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
  16. 16.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)?
  17. 17.A pipe (a cylinder) has a radius of 14 cm and a length of 16 cm. What is its curved surface area (take π = 22/7; in sq cm)?
  18. 18.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)?
  19. 19.A cube has an edge of 3 cm. What is its total surface area (in sq cm)?
  20. 20.A closed box is 14 cm long, 12 cm wide and 5 cm high. What is its total surface area (in sq cm)?
  21. 21.A fish tank is 120 cm long, 50 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  22. 22.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 20 cm × 20 cm?
  23. 23.A box is 20 cm long, 3 cm wide and 6 cm high. What is its volume (in cubic cm)?
  24. 24.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 9 cm?
  25. 25.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
  26. 26.A closed box is 12 cm long, 10 cm wide and 4 cm high. What is its total surface area (in sq cm)?
  27. 27.A box is 7 cm long, 3 cm wide and 10 cm high. What is its volume (in cubic cm)?
  28. 28.How many cubes of edge 4 cm fit exactly in a box that is 8 cm × 16 cm × 8 cm?
  29. 29.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 15 cm?
  30. 30.A box is 11 cm long, 11 cm wide and 5 cm high. What is its volume (in cubic cm)?
  31. 31.A box is 12 cm long, 3 cm wide and 4 cm high. What is its volume (in cubic cm)?
  32. 32.How many cubes of edge 2 cm fit exactly in a box that is 10 cm × 12 cm × 6 cm?
  33. 33.A fish tank is 30 cm long, 60 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  34. 34.A closed box is 15 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
  35. 35.A fish tank is 110 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
  36. 36.A box is 15 cm long, 4 cm wide and 9 cm high. What is its volume (in cubic cm)?
  37. 37.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 18 cm × 6 cm?
  38. 38.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 15 cm × 15 cm?
  39. 39.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
  40. 40.A box is 9 cm long, 2 cm wide and 6 cm high. What is its volume (in cubic cm)?

Answer key

  1. 400
  2. 180
  3. 1144
  4. 548
  5. 2464
  6. 1000
  7. 244
  8. 720
  9. 16
  10. 3696
  11. 294
  12. 6930
  13. 192
  14. 924
  15. 24
  16. 352
  17. 1408
  18. 528
  19. 54
  20. 596
  21. 420
  22. 64
  23. 360
  24. 24
  25. 19404
  26. 416
  27. 210
  28. 16
  29. 30
  30. 605
  31. 144
  32. 90
  33. 144
  34. 230
  35. 132
  36. 540
  37. 60
  38. 27
  39. 216
  40. 108

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