As is generally known, the side of a cube having twice the volume of a cube with volume 1 is 2^(1/3). It has been proven to be impossible to construct the cube having twice the volume of the initial cube with compass and straightedge (ruler) alone, when starting with a cube of 1 unit. The ancient Greeks devised several methods by using additional tools1, and later Albrecht Dürer has found a method of constructing the ratio of 1 to 2^(1/3) by a method wherein two sections of a certain straight line have to be made of equal length by trial and error2. I here present a simple new method of constructing the ratio of 1 to 2^(1/3) that uses a compass, a straightedge and properties of a normal parabola that can be drawn with compass and straightedge by tackling the problem in reverse order, i.e. starting from a cube having a side length of 2^(1/3) in an arbitrary system of units and, thus, a volume of 2 in the same system, and constructing the side length of a cube with half the volume in the arbitrary system of units. By using the intercept theorem this can be converted to any desired unit, such as cm. It should be noted that a length unit as displayed on the screen, such as 1 cm, may not be preserved when this document is printed on paper.