Aptitude volume and surface area


  1. CUBOID
  2. Let length = l, breadth = b and height = h units. Then

    • Volume = (l x b x h) cubic units.
    • Surface area = 2(lb + bh + lh) sq. units.
    • Diagonal = l2 + b2 + h2 units.
  3. CUBE
  4. Let each edge of a cube be of length a. Then,

    • Volume = a3 cubic units.
    • Surface area = 6a2 sq. units.
    • Diagonal = 3a units.
  5. CYLINDER
  6. Let radius of base = r and Height (or length) = h. Then,

    • Volume = (πr2h) cubic units.
    • Curved surface area = (2πrh) sq. units.
    • Total surface area = 2πr(h + r) sq. units.
  7. CONE
  8. Let radius of base = r and Height = h. Then,

    • Slant height, l = h2 + r2 units.
    • Volume = (
      1 / 3
      πr2h) cubic units.
    • Curved surface area = (πrl) sq. units.
    • Total surface area = (πrl + πr2) sq. units.
  9. SPHERE
  10. Let the radius of the sphere be r. Then,

    • Volume = (
      4 / 3
      πr3h) Cubic Units.
    • Surface area = (4πr2) sq. units.
  11. HEMISPHERE
  12. Let the radius of a hemisphere be r. Then,

    • Volume = (
      2 / 3
      πr3h) Cubic Units.
    • Curved surface area = (2πr2) sq. units.
    • Total surface area = (3πr2) sq. units.

Note: 1 litre = 1000 cm3.







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