Cake Cutout Conundrum*

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A company employee brought a chocolate cake to the office with the intention of cutting it in half so that each half could be shared with the sales and technical groups at their separate weekly meetings. The office manager, who would not be attending either meeting, decided to take her share of the tasty treat before the cake was divided. Knowing that each group in the office appreciated equality, the cake baker was in a tough situation. The office manager’s cut removed a rectangular piece in a random position and orientation, making it nearly impossible to make a clean cut that would divide the cake evenly. Being an extremely clever individual, the baker figured out a way to do so by making a single cut along a straight line. How was the cut made to divide the cake into two equal pieces?

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If you know the answer, please add it in a comment below.

NOTE: Creating a “cake” part in SOLIDWORKS and dividing it into two bodies using your “cut” will allow the use of the SOLIDWORKS Mass Properties tool to check your answer.

*The content of this blog article is based on a segment from National Public Radio’s “Car Talk” weekly puzzler.