Let the region R be the area enclosed by the function f(x)=x^2-2f(x)=x

2

−2 and g(x)=2x-2.g(x)=2x−2. If the region R is the base of a solid such that each cross section perpendicular to the xx-axis is a square, find the volume of the solid. You may use a calculator and round to the nearest thousandth.