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Problem of the Week

Problem D

To the Other Side

Points \(A\) and \(C\) are vertices of a cube with side length 2 cm, and \(B\) is the point of intersection of the diagonals of one face of the cube, as shown below. Determine the length of \(CB\).

Line segment C A is an edge on the base of the cube. Line segment A B lies on a vertical face of the cube and line segment C B passes through the interior of the cube.