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Italy Contests
ITAMO
1993 ITAMO
6
6
Part of
1993 ITAMO
Problems
(1)
rotate a cube around diagonal 60^o, volume of intersection wanted
Source: 1993 ITAMO p6
1/31/2020
A unit cube
C
C
C
is rotated around one of its diagonals for the angle
π
/
3
\pi /3
π
/3
to form a cube
C
′
C'
C
′
. Find the volume of the intersection of
C
C
C
and
C
′
C'
C
′
.
rotation
geometry
3D geometry
Volume
cube