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Donatello starts with a marble cube of side length 1. He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length s. Find s. 

 Oct 2, 2021
 #1
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The side length is $s = \frac{\sqrt{2}}{2}$

 Oct 2, 2021
 #2
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Wrong

Guest Oct 2, 2021
 #3
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1 - sqrt 2  

 Oct 2, 2021
 #4
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Wrong

Guest Oct 2, 2021
 #5
avatar+35059 
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Sorry....I typed it backwards after working it out on paper

    sqrt (2)  - 1

ElectricPavlov  Oct 2, 2021
 #6
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s + 2(sin45º * s) = 1

 

s = 0.414213562       or  √2 - 1

 Oct 2, 2021

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