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volume of a lateral right square pyramid

Source: Finland 2015, Problem 2

September 1, 2019
3D geometrypyramidVolumegeometry

Problem Statement

The lateral edges of a right square pyramid are of length aa. Let ABCDABCD be the base of the pyramid, EE its top vertex and FF the midpoint of CECE. Assuming that BDFBDF is an equilateral triangle, compute the volume of the pyramid.
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