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Volume Surface-Area- Facts & Formulae



  1. Cuboid:
      Let length = l, breadth = b & height = h units Then,
    • Volume = (l x b x h) cu units
    • Surface Area = 2 (lb + bh + hl) sq. units
    • Diagonal = √ l 2 +b2 +h2 units
  2. Cube:
      Let each edge of a cube be of length a. Then,
    • Volume = a 3 cu units
    • Surface Area = 6a 2 sq. units
    • Diagonal = √ 3 x a units
  3. Cylinder:
      Let radius of base = r & height (or length) = h. Then,
    • Volume = (∏r 2h) cu. units
    • Curved Surface Area = (2∏rh) sq. units
    • Total Surface Area = 2∏r(r + h) sq. units
  4. Cone:
      Let radius of base = r & height = h. Then,
    • Slant height, l = √ h 2+r 2 units
    • Volume = (⅓∏r 2h) cu. units
    • Curved Surface Area = (∏rl) sq. units
    • Total Surface Area = ∏r(r + l) sq. units
  5. Sphere:
      Let the radius of the sphere be r. Then,
    • Volume = (4/3 ∏r 3) cu. units
    • Surface Area = (4∏r 2) sq. units
  6. Hemi-sphere:
      Let the radius of the sphere be r. Then,
    • Volume = (2/3 ∏r 3) cu. units
    • Curved Surface Area = (2∏r 2) sq. units
    • Total Surface Area = (3∏r 2) sq. units

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