  Let S be a K3 surface that admits a non-symplectic automorphism $\rho$ of
order 3. We divide $S\times \mathbb{P}^1$ by $\rho\times\psi$ where $\psi$ is
an automorphism of order 3 of $\mathbb{P}^1$. There exists a threefold ramified
cover of a partial crepant resolution of the quotient that is a Calabi-Yau
orbifold. We compute the Euler characteristic of our examples and obtain values
ranging from 30 to 219.
