Area to volume

If the surface area of a cube is 486, find its volume.

Result

V =  729

Solution:

S=486 S=6a2 a=S/6=486/6=9  V=a3=93=729S=486 \ \\ S=6a^2 \ \\ a=\sqrt{ S/6 }=\sqrt{ 486/6 }=9 \ \\ \ \\ V=a^3=9^3=729

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