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The same volume of an object,

The simplest regular tetrahedron polyhedron, calculate the surface area.

The surface area is pentahedral small surface area than the regular tetrahedron

Regular hexahedron surface area than the surface area is small pentahedral

. . . .

If it is known is N-face surface area of ​​the body, there are N +1 is smaller the surface area of ​​the surface

When N tends to infinity for a long time, Serve the sphere surface.

------mecose

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Q: Why sphere has minimum surface area for given volume?
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