MathDB

A factory packs its products in cubic boxes. In one store, they put

512

of these cubic boxes together to make a large

8\times 8 \times 8

cube. When the temperature goes higher than a limit in the store, it is necessary to separate the

512

set of boxes using horizontal and vertical plates so that each box has at least one face which is not touching other boxes. What is the least number of plates needed for this purpose?

Problem Statement