We can find the volume of the regular polygon inscribed in a triangular prism by breaking down the problem into three steps:
Find the height of the regular polygon. This can be done by using the Pythagorean theorem to find the length of the altitude of the triangular prism that intersects the base of the regular polygon.
Find the area of the base of the regular polygon. This can be done using the formula for the area of a regular polygon:
main.rb47 chars2 lines
where n is the number of sides of the polygon, and s is the length of each side.
Find the volume of the regular polygon by multiplying the area of the base by the height calculated in step 1.
Here's the Ruby code that implements this algorithm:
main.rb807 chars24 lines
In this example, the output will be:
main.rb102 chars2 lines
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