A Challenging Problem-1 of Tetradecahedron With Hexagonal & Trapezoidal Faces by HCR

Geometry Level 5

The diagram above shows a uniform tetradecahedron that has 2 congruent regular hexagonal faces each with side of length a & 12 congruent trapezoidal faces each having three sides each of length a. All its 18 vertices eventually & exactly lie on a spherical surface with a certain radius. Find out the value of solid angle (in Ste-radian) subtended by each trapezoidal face at the center of tetradecahedron.

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