Prism in Geometry! Not in Physics!
Geometry
Level
2
A polygonal prism has 2010 edges. The number of the faces of the prism will be?
The answer is 672.
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1 solution
The number of edges in a prism is equal to 3n if the base is a n-sided polygon.
There are two identical faces and equal number of lines (edges) connecting these two identical faces. So, number of edges = 2n(bases) + n (connecting lines).
So, if a polygonal prism has 2010 edges, the order(n) of the base of the prism will be 2010/3 = 670.
Also dont forget the identical bases(2).
So, number of faces of the prism = 670 + 2 = 672.