Cutting Part Into Multiple Bodies Using Single Sketch

Can someone help me out with splitting a part into multiple bodies? This seems like something that should be very simple, but I am drawing ablank. I have a part with a sketch mapping out where I need all of the cuts to occur, but I can't seem to get it to work the way I thought it would. I thought a thin extruded feature would do the trick, but that doesn't work. And the split feature doesn't work either.

Attached is a screenshot of what I'm working with. The sketch geometry you see is where I need to cut the part into multiple bodies.

I'm basically at the point where I am going to use the main sketch as a reference and create a new sketch for each individual cut line and do a thin cut extrude for each one. But there has to be a better way.

SolidworksParts And Features