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 is given by the formula:
\[ V_{\text{prism}} = \text{Base Area} \times \text{Height} \]
Since the prism and pyramid have congruent bases and heights, the volume of the prism can be expressed in terms of the volume of the pyramid. Specifically, the volume of the prism is three times the volume of the pyramid:
\[ V_{\text{prism}} = 3 \times V_{\text{pyramid}} \]
Given that the volume of the pyramid is 48 in³:
\[ V_{\text{prism}} = 3 \times 48 , \text{in}^3 = 144 , \text{in}^3 \]
Therefore, the volume of the prism is:
\[ \boxed{144 , \text{in}^3} \]