The sum of the lengths of the edges of a cubeis equal to the perimeter of a square.If the
numerical value of the volumeofthe cube is equal to the numerical value ofthe area of the square, then the length of one side of the square is:

The correct option is C.

 Let the length of edge of cube is $$a$$. And length of side of square is $$b$$.

        From question, 12$$a$$ =4$$b$$

               $$\Rightarrow$$ $$a$$= $$\frac{b}{3}$$          ....(1)

Again , vol of cube = area of square

                     $$a^{3}$$ = $$b^{2}$$

            $$\Rightarrow$$ $$\frac{1}{27}$$ $$b^{3}$$ = $$b^{2}$$        From equation (1)

             $$\Rightarrow$$ b = 27 unit.