# Math Help - A cube and its vertices

1. ## A cube and its vertices

Given a cube, how many acute angles triangles are there whose vertices are of vertices that cube?

Is there a simpler way to solving this?

2. Hello, clarebear14!

Given a cube, how many acute-angled triangles are there
whose vertices are vertices of that cube?

Is there a simpler way to solving (Thinking) this?

We find that most triangles are right triangles.

The exceptions are eight equilateral triangles
. . formed by the diagonals of the faces.

Code:
              *---------o
/     o   / |
/   o     /   |
/ o       /   o |
o---------*       |
| o       |   o   *
|   o     |     /
|     o   | o /
|       o | /
*---------o