MathProblemsBank

5.3.1.3 Construction of sections

In a regular hexagonal pyramid \( S A B C D E F \) with a vertex \( S \), three points are taken on the segment \( A D \), dividing it into four equal parts. Through these points, sections are drawn parallel to the plane \( S A B \). Find the ratio of the areas of the indicated sections.

-> Construction of sections