Question

Let ABCDEFGH be a cube.

a) How many different segments can you form by connecting the vertices of the cube?

b) How many different triangles can you form by connecting 3 of the vertices of the cube?

Answer 1

a) 28

b) 56

Explanation:

A cube is a three dimensional shape gotten from a square. It has 6 faces, and an equal line segment that form its sides.

A vertex is the edge of a figure.

In the given cube ABCDEFGH, since the vertices to be considered are not only the adjacent vertices, then;

a) By connecting the vertices of the cube, 28 different segments can be obtained.

b) The number of triangles that can be formed by connecting 3 of the vertices of the cube is 56.