Although you could model this directly in Polyboard, I would suggest that you get the shape of the inner rotating cabinet with a preliminary design be made in CAD. Then import into Polyboard the shape of the outer and inner plans.
Using the imported shapes, make 2 cabinets that you can assemble in a project.
This will allow you to get the correct outer shapes and then use Polyboard to set up the shelves uprights,, etc. and produce the cutting lists and plans.
If this is a real life project you might consider buying a support pack so that I can walk you through the design process.