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Explore the Back-StoryThis is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry.

In the cube with opposite vertices and and are the midpoints of edges and respectively. Let be the ratio of the area of the cross-section to the area of one of the faces of the cube. What is

(A) (B) (C) (D) (E) .

This is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry.

In the cube with opposite vertices and and are the midpoints of edges and respectively. Let be the ratio of the area of the cross-section to the area of one of the faces of the cube. What is

(A) (B) (C) (D) (E) .

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