Hello there!

I was given a task to draw out a simulation of a laser-guided radar (or Lidar) and the results when the laser beams it emits intersects with an object. What I have got so far, in the attached screenshot, is when the lasers intersect a cube, for example.


I'm trying to find a way to "print" out the surface of the cube with the intersected lasers "cutting" through the cube (kind of like extrusions), or isolating the beams that hit the cube, whichever is easier.
I understand that this sounds like a very confusing request, and any help would be much appreciated. Thanks!