Question

a rectangular solid that is 6cm by 6cm by 6cm is painted on all six faces. then the solid is cut into cubes that measure 2cm on each side . how many cubes have only one face painted ?

Answer 1

6 cubes.

Explanation:

By looking at the picture attached we find that the only cubes that will have only once face painted are the ones located in the middle. The cubes near to the edge will have at least two faces painted.

Given that a cube has 6 faces, we can conclude that only 6 small cubes will have one face painted.