  Let $\mathcal{P} \subset \mathbb{R}^d$ be a lattice polytope of dimension
$d$. Let $b$ denote the number of lattice points belonging to the boundary of
$\mathcal{P}$ and $c$ that to the interior of $\mathcal{P}$. It follows from a
lower bound theorem of Ehrhart polynomials that, when $c > 0$, the volume of
$\mathcal{P}$ is bigger than or equal to $(dc + (d-1)b - d^2 + 2)/d!$. In the
present paper, via triangulations, a short and elementary proof of the minimal
volume formula is given.
