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

[Rev. Rye]

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.

Which is why nobody ever slices their cakes the way the problem suggests. That and it being needlessly counter-intuitive.