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Old Kyiv MO Geometry
Kyiv City MO 1984-93 - geometry
1993.11.3
1993.11.3
Part of
Kyiv City MO 1984-93 - geometry
Problems
(1)
2 cubes inscribed in a sphere 1993 Kyiv City MO 11.3
Source:
7/21/2021
Two cubes are inscribed in a sphere of radius
R
R
R
. Calculate the sum of squares of all segments connecting the vertices of one cube with the vertices of the other cube
geometry
3D geometry
sphere
cube