### All ACT Math Resources

## Example Questions

### Example Question #1 : Tetrahedrons

Calculate the diagonal of a regular tetrahedron (all of the faces are equilateral triangles) with side length .

**Possible Answers:**

**Correct answer:**

Explanation:

The diagonal of a shape is simply the length from a vertex to the center of the face or vertex opposite to it. With a regular tetrahedron, we have a face opposite to the vertex, and this basically amounts to calculating the height of our shape.

We know that the height of a tetrahedron is where s is the side length, so we can put into this formula:

which gives us the correct answer.

### All ACT Math Resources

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