Answer to Question #324980 in Calculus for Rodeick

Question

Graph the surface area of a cube as a function of the volume of a cube

Answer 1

If the side of a cube is x then the surface area of a cube is $S=6x^2$ and the volume is $V=x^3$.

Then $x=V^\frac13$ and $S=6x^2=6V^\frac23$ .

The surface area of a cube as a function of the volume of a cube:

$S(V)=6V^\frac23$