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Difference between lateral and total surface area

What is the difference between lateral and surface area?
If possible, some examples would be helpful.


Lateral area is the area of the sides of a 3D geometric figure such as prism, cylinder or pyramid.
Surface area is the total area of the given figure (the sides of a 3D geometric figure + base area).

For example, if we have a cube, then its lateral area formula is [tex]L=4a^2[/tex] and surface area formula is [tex]S=6a^2[/tex], because we added two bases with area [tex]a^2[/tex].

Another example is with a cone. Lateral area is [tex]L=\pi r l[/tex] and total surface area is [tex]S=\pi rl + \pi r^2[/tex], because we added the base area of a cone [tex]\pi r^2[/tex].

Last time edited 2018-06-30


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