To find the shortest path between two points A and B on two different faces of a right rectangular prism, you will need to determine which edges of the prism lie on the straight line between A and B. Then, you can use the Pythagorean theorem to calculate the length of each of these edges, and add them up to find the total distance of the shortest path.
First, you will need to determine which edges of the prism lie on the straight line between A and B. To do this, you can draw a line segment between A and B and extend it until it intersects with the edges of the prism. The points of intersection will be the vertices of a right triangle, and the edges of the prism that form this triangle will be the ones that lie on the straight line between A and B.
Next, you can use the Pythagorean theorem to calculate the length of each of these edges. Finally, you can add up the lengths of the edges to find the total distance of the shortest path between A and B.
It's worth noting that there may be multiple paths that connect A and B with the same length, so it's important to check all possible paths that lie on the prism to ensure you've found the shortest one.