MathDB

5

Part of 1994 ITAMO

Problems(1)

min, max area of the intersection of cube with plane passing through diagonal

Source: 1994 ITAMO p5

1/30/2020
Let OPOP be a diagonal of a unit cube. Find the minimum and the maximum value of the area of the intersection of the cube with a plane through OPOP.
areaminimummaximumcubePlanegeometry