View source for 2016 UNCO Math Contest II Problems/Problem 3

== Problem ==

[[File:DIE.png|200px|thumb|right]] 

A cube that is one inch wide has
had its eight corners shaved off. The cube’s vertices
have been replaced by eight congruent equilateral triangles,
and the square faces have been replaced by six
congruent octagons. If the combined area of the eight
triangles equals the area of one of the octagons, what is
that area? (Each octagonal face has two different edge
lengths that occur in alternating order.)

== Solution ==

== See also ==
{{UNCO Math Contest box|year=2016|n=II|num-b=2|num-a=4}}

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