25 Apr 2013

Slicing a Triangular Prism: Upper Secondary Mathematics Competition Question

Below is a diagram of a regular triangular prism. Triangles ABC and DEF are equilateral and parallel to each other. A cut is made that slices the prism into two pieces in such a way that the plane passes through points A, B and F.

What is the ratio of (volume ABEFD) : (volume ABCF) ?

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