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.