MathDB
Math Prize 2019 Problem 17

Source:

October 15, 2019
Math Prize for Girls

Problem Statement

Let PP be a right prism whose two bases are equilateral triangles with side length 2. The height of PP is 232\sqrt{3}. Let ll be the line connecting the centroids of the bases. Remove the solid, keeping only the bases. Rotate one of the bases 180∘180^\circ about ll. Let TT be the convex hull of the two current triangles. What is the volume of TT?
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