MathDB
Two Regular Triangular Pyramids

Source: 1996 National High School Mathematics League, Exam One, Problem 10

March 4, 2020
geometry3D geometrypyramid

Problem Statement

Give two congruent regular triangular pyramids, stick their bottom surfaces together. Then ,it becomes a hexahedron with all dihedral angles equal. The length of the shortest edge of the hexahedron is 22. Then, the furthest distance between two vertexes is________.