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National and Regional Contests
Bulgaria Contests
Bulgaria National Olympiad
1962 Bulgaria National Olympiad
Problem 3
Problem 3
Part of
1962 Bulgaria National Olympiad
Problems
(1)
cross-section of cube _|_ to diagonals (Bulgaria 1962 P3)
Source:
6/24/2021
It is given a cube with sidelength
a
a
a
. Find the surface of the intersection of the cube with a plane, perpendicular to one of its diagonals and whose distance from the centre of the cube is equal to
h
h
h
.
geometry
3D geometry