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For Geeks & Brainiacs #38- Big Open Box -

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Consider a square metal sheet that is 80 cm x 80 cm. Your task is to form an open box with the largest possible volume by cutting equal square pieces from each corner of the sheet and then bending the flaps upwards as in the illustration below. What are the dimensions of the box that yield the maximum possible volume? Puzzle Image
Do you have a suggestion for this puzzle (e.g. something that should be mentioned/clarified in the question or solution, bug, typo, etc.)?