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2017 Polish Junior Math Olympiad First Round P6

Source: 2017 Polish Junior Math Olympiad First Round

May 23, 2023
3D geometrygeometry

Problem Statement

The base of the pyramid ABCDABCD is an equilateral triangle ABCABC with side length 11. Additionally, ADB=BDC=CDA=90.\angle ADB=\angle BDC=\angle CDA=90^\circ\,. Calculate the volume of pyramid ABCDABCD.