Answer:
4 diagonals if we do not count the interior of faces of the object
16 if we count the interior of the faces of the object
Explanation:
The key word is inside
I assume that means there are no diagonals drawn on the surface of the 3d rectangular prism
There are 4 possible diagonals that can be drawn.
Each interior diagonal can be drawn from the top vertex to the bottom diagonally opposite vertex
Since there are 8 vertices in all and two vertices are connected by a diagonal, there are a total of 4 interior diagonals that can be drawn
If we were to consider the interior faces of the object, since there are 6 faces and 2 diagonals can be drawn on each face that would be an additional 12 diagonals
So I am a little confused here whether the question includes the interior face diagonals. You may wish to clarify
If you look at the attached picture, you will see that there are 2 diagonals. One of the diagonals is on the base of the object, that other is from top vertex to opposite bottom vertex
So if you include both surface and interior that would be 16, if you ignore the surface, that would be 4