Party cake

A classic USA math problem formulation involves sharing food fairly. Enjoy this problem with your lunch and the next one with your dinner 🙂

Five friends have ordered their favourite cake for a party. The cake is a parallelepiped and has icing on its top face and sides. Can you help our friends divide it fairly? Of course each friend needs to get equal amounts of cake, of top icing, and of side icing.

Credits and source attribution
Roger Nelsen, Claudi Alsina: Math Made Visual: Creating Images for Understanding Mathematics, page 44


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