Question

how many line segments have both their endpoints located at the vertices of a given cube?

Answer 1

In geometry, a cube is a three-dimensional strong object limited by six square faces, features or sides, with three meeting at every vertex.

A cube has 8 vertices. Number of line segments = 8C2=28. (As a line segment has 2 end points)

(1) Each line segment uniquely determines a pair of endpoints.

(2) Each pair of endpoints uniquely determines a line segment.