Can you cut a cake fairly to solve this middle school math problem?

[popeyespappy]

Notice that though the yellow and red pieces get only half a corner of frosting, each one gets portion of frosting that extends into the area directly above its neighbor.

OK so I'm making it harder than it needs to be...

I 3d modeled the damn thing and let the computer tell me the volume of all the different parts. A 20x20 cm cake covered with 0.5 cm of icing on the top and sides has a volume of 2425.53 cm. That's 20003 cm of cake and 425.53 cm of icing. If you cut it like we did way back on page 3 everyone gets 4003 cm of cake and 85.13 cm of icing. The thickness of the icing doesn't make a difference as long as it is spread evenly.

Oh, and everyone gets diabetes too from eating that much cake.