Figure 4. Is it possible to add the building blocks from one cube to another cube, to form a third, larger cube? In this case a 6 × 6 × 6 cube added to an 8 × 8 × 8 cube does not have quite enough building blocks to form a 9 × 9 × 9 cube. There are 216 (63) building blocks in the first cube, and 512 (83) in the second. The total is 728 building blocks, which is 1 short of 93.
