Surface Areas Made Easy

Surface Area – The measure of the total area that the object occupies. Which is the collective sum of all areas of different areas of the object. Example Cube has 6 faces each face having an area of side2 , thus surface area is 6* side2.

  1. Lateral Surface Area
    • The sum of areas of all surfaces excluding top and bottom.
  2. Total Surface Area
    • The sum of areas of all surfaces including top and bottom.
Surface Area Visualization

Cuboidal – Above cuboidal has 6 faces and dimensions as L, B, H – Length, Breadth, Height.

The Lateral Surface Area is the area in yellow + purple color.

The Total Surface Area is area in yellow + purple + red color.

List Of Common Used Surface Area Shapes.
ShapesLateral Surface AreaTotal Surface Area
Cube4a26a2
Cuboidal2h(l+b)2(lb+bh+hl)
Coneπrlπr(r+l)
Cylinder2πrh2πr(h+r)
Cylinder Hollow2πh(r1+r2)2πh(r1+r2) + 2π(r12-r22)
Shpere4πr26πr2
Hemisphere2πr23πr2
Hemisphere Hollow2π(r12+r22)2π( r12+r22 ) + π(r12-r22)
Prismperimeter of base x heightLSA + 2( Area of base)
Pyramid1/2 (perimeter of base x slant height)LSA + ( Area of base)
OTHER TOPICS
- NUMBER SYSTEM
- PERIMETER, AREA, VOLUME
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