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Mathematics-Online problems:

Interactive Problem 141: Hexagon as planar intersection of a cube

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A plane passes through the center of a cube with side length $ 1$ and is orthogonal to the body diagonal.

\includegraphics[width=.4\linewidth]{g26_bild1.eps}

Determine the area $ A$ of the hexagon obtained as well as the radius $ r$ of the inscribed circle.


Answer:

$ A$ =  
$ r$ =  

(The results should be correct to four decimal places.)


   

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  automatically generated: 8/11/2017