Question

Find a function that models the surface area S of a cube in terms of its volume V.

Answer 1

Surface area of the cube is equal to six times the surface area of each face, hence S = 6 s^2. The volume of the cube is equal to the cube of the side since all sides are equal. V = s^3. 

S = 6 s^2
V = s^3 

S = 6 * (V)^2/3