There is a cube. Divide it into 24 small cuboids. The total surface area of these cuboids is 72 square decimeters. How about the volume of this cube?

There is a cube. Divide it into 24 small cuboids. The total surface area of these cuboids is 72 square decimeters. How about the volume of this cube?


A cube can be divided into 24 cuboids in the following ways: (1) 1 * 1 * 24 23 (2) 1 * 2 * 12 1 + 11 = 12 (3) 1 * 3 * 8 2 + 7 = 9 (4) 1 * 4 * 6 3 + 5 = 8 (5) 2 * 2 * 6 1 + 1 + 5 = 7 (6) 2 * 3 * 4 1 + 2 + 3 = 6. For each cut, two faces are added