The volume of a pyramid is given by the formula:
\[ V_{\text{pyramid}} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
The volume of a rectangular prism (or any prism) is given by the formula:
\[ V_{\text{prism}} = \text{Base Area} \times \text{Height} \]
Since the pyramid and the prism have congruent bases and the same height, we can relate their volumes. Specifically, the volume of the prism is three times that of the pyramid:
\[ V_{\text{prism}} = 3 \times V_{\text{pyramid}} \]
Given that the volume of the pyramid is 48 in³, we can calculate the volume of the prism:
\[ V_{\text{prism}} = 3 \times 48 \text{ in}^3 = 144 \text{ in}^3 \]
Thus, the volume of the prism is 144 in³.