To find the volume of the prism, we first need to understand the relationship between the volume of the pyramid and the prism, which both have the same triangular base and height.
The formula for the volume of a pyramid is:
\[ \text{Volume}_{\text{pyramid}} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
The volume of the prism is calculated as follows:
\[ \text{Volume}_{\text{prism}} = \text{Base Area} \times \text{Height} \]
Because the pyramid has one-third the volume of the prism (due to its shape), we can express the volume of the prism in terms of the volume of the pyramid:
\[ \text{Volume}{\text{prism}} = 3 \times \text{Volume}{\text{pyramid}} \]
Given that the volume of the pyramid is 210 cubic units, we substitute this value into the volume equation for the prism:
\[ \text{Volume}_{\text{prism}} = 3 \times 210 = 630 \text{ cubic units} \]
Thus, the volume of the prism is 630 cubic units.