MathDB
cube

Source: flanders '98

September 27, 2005
geometry3D geometryanalytic geometryvectortrigonometry

Problem Statement

Given a cube with edges of length 1, ee the midpoint of [bc][bc], and mm midpoint of the face cdc1d1cdc_1d_1, as on the figure. Find the area of intersection of the cube with the plane through the points a,m,ea,m,e. http://www.mathlinks.ro/Forum/album_pic.php?pic_id=279