Question 6
An open rectangular box measures 5 × 6 × 7. Its base is 5 × 6, two side walls are 5 × 7, and the other two are 6 × 7. It is filled by 210 unit cubes of size 1 × 1 × 1. How many cubes have a face touching one of the enclosing faces of the box?

Editorial clarification: The listed box has a base and four side walls; no lid is included.

Editorial clarification: The listed box has a base and four side walls; no lid is included.