Consider a pyramid with a square base. The side length of the

base is 2 units and the height of the pyramid is 1 unit. Imagine

placing a cube inside this pyramid (resting on the base of the

pyramid) such that each of the four top corners of the cube is

touching each of the 4 slanted edges of the pyramid .

Find the dimensions of the cube. That is, find the value, in

units, of the length of one edge of the cube.