MathProblemsBank

5.3.1.4 Construction of sections

Let the point \( E \) be the midpoint of the edge \( A_{1} D_{1} \) of the cube \( A B C D A_{1} B_{1} C_{1} D_{1} \). Construct a section of the cube with a plane passing through the point \(D\) perpendicular to \(C E\). Find the area of ​​this section if the edge of the cube is 2.

-> Construction of sections