If the volume of the parallelepiped with $\vec{a}$, $\vec{b}$, and $\vec{c}$ as coterminous edges is 40 cubic units, what is the volume of the parallelepiped having $\vec{b} + \vec{c}$, $\vec{c} + \vec{a}$, and $\vec{a} + \vec{b}$ as coterminous edges in cubic units?