Consider a right regular tetrahedron with an edge length of $6$ cm. A point, $P$, is located at the centroid of this tetrahedron. To determine the distance from point $P$ to each vertex of the tetrahedron, you can use the formula for the distance from the centroid to a vertex in a regular tetrahedron, which is given by:
$$ d =\frac{a ext{ (edge length)}}{\frac{3}{2}} $$
What is the distance from point $P$ to one of the vertices?