The diagrams below are a map of a solution to packing the 166 hexacubes into a 10x10x10 cube. Since the hexacube set has a total volume of 996, a square tetracube has been placed in the center of the top face to complete the cube.

This solution is partitioned into ten identical slabs, plus a plank. The 4x10x1 plank is centered in the top layer of the cube. The slabs are each 5x10x2, with a 2x2x1 chunk removed from the corner. The slabs can be arranged in 10! orders, and the upper plank can be flipped over; this represents over 7 million different solutions.

How to Read the Map: The heavy outlines show the piece borders on each layer. The thin outlines show the piece borders on the next higher layer. Crosshatching shows a vertical connection between those layers. Since no piece occupies more than two layers, the outlines and crosshatching are enough to completely describe a piece. As an additional aid, the non-standard piece names (of the piece in the current layer) are included in each location.

4x10x1 plank

Slabs 1 and 2

Slabs 3 and 4

Slabs 5 and 6

Slabs 7 and 8

Slabs 9 and 10