The rectangular parallelepiped was painted on all sides and cut into 24 equal

The rectangular parallelepiped was painted on all sides and cut into 24 equal cubes. 12 cubes had 2 faces painted. What are the dimensions of the parallelepiped?

To solve this task, you need to find the size of the parallelepiped.

Let’s consider the condition and analyze it;

By condition, we know that a rectangular parallelepiped was cut into 24 cubes and 12 cubes have two faces. Two faces of the cubes can be painted if they were on the edge of the box, excluding the vertices.

Recall that a rectangular parallelepiped has only 12 edges;

You can distribute the cubes along the edges as follows;

4 ribs 2, 4 ribs 1;
Then the sides are equal: 4; 3; 2.