This document summarizes steps to prove the algebraic identity a3 + b3 = (a + b)(a2 - ab + b2) using unit cubes. It involves taking values for a and b, such as a = 3 and b = 1. Cubes and cuboids with dimensions corresponding to the terms in the identity are constructed using unit cubes. By counting the number of unit cubes in each shape, it is shown that the number for a3 + b3 equals the number for (a + b)(a2 - ab + b2), proving the identity.