How to loopcut a Square-based Pyramid? Is there a way to loop-cut a Square based Pyramid, so that there is multiple bands around the sloped sides?

Edit: Sorry, my bad, but when I said triangular prism, I was thinking about a pyramid, Changed that just now. Sorry again! Though the prism answer was a nice knowledge to know.
Regardless it is square-based or not, you can always select all sloped edges, then hit W > Subdivide, then tweak the number of cuts as you want.



Another trick is to first bevel the pole vertex, with a very small value, to make all sloped faces quads (they might still look like triangles , but they are actually quads now), then you can use loop cut tool to cut them. After that, just remove the extra vertices with Remove Doubles tool.