The base of the quadrangular pyramid coincides with the bottom edge of the cube, and its apex
| August 5, 2021 | education
The base of the quadrangular pyramid coincides with the bottom edge of the cube, and its apex coincides with one of the vertices of the upper base of the cube. How many edges do this pyramid and cube have in common?
The pyramid ABCDE has 8 edges. Of these, 4 edges forming the base coincide with the edges of the bottom face of the cube. Of the 4 side edges, only the edge AE coincides with the edge of the cube. The other three edges coincide with the diagonal of the cube and the diagonals of the faces.
Answer. 5 edges of the pyramid coincide with the edges of the cube.
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