Delian Cube Doubling Problem

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The Delian Cube-Doubling Conundrum: Now You Can Experience It. This is a timeless puzzle! At first glance, it appears straightforward; but this math problem is an intriguing challenge that spans one dimension through two dimensions to three. It has been proven impossible to double the volume of a cube using only unmarked straightedge and compass. Nonetheless, with a marked ruler, you can construct the edge of such a doubled cube and therefore the entire cube. Please select either model from your perspective. Version A: The whole cube, including its walls, is considered as the volume. Version B: The interior (capacity) of the cubes is counted as the volume, excluding their walls. The base provides the setup for the inquisitive mind to prove that the edge of the doubled cube is the cubic (third) root of 2. It's slightly demanding; you may want to look up the Theorem of Menelaus. I won't spoil it here. Enjoy and play with math! References https://en.wikipedia.org/wiki/Doubling_the_cube Dörrie, Heinrich. (1965). 100 Great Problems of Elementary Mathematics: Their History and Solution. (David Antin, Trans.) . New York, NY: Dover (Original work published 1958).