A unit cube is revolved around its body diagonal. What is the maximum distance between two points in the resulting solid?
I thought we already have the problem of finding the volume of the figure on perplexus. I created this animation around August 2020 to help understand the shape. It is a bit of a spoiler for the volume problem, but I may submit it anyway.
https://www.desmos.com/calculator/jv5mwjw5um
There is no distance longer than the space diagonal. The answer is sqrt(3).
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Posted by Jer
on 2024-08-07 19:57:44 |
Solution
