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The Cardboard Box

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
This puzzle is not difficult, but it will be found entertaining to discover the simple rule for its solution. I have a rectangular cardboard box. The top has an area of 120 square inches, the side 96 square inches, and the end 80 square inches. What are the exact dimensions of the box?

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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