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:
\[ V_{\text{prism}} = \text{Base Area} \times \text{Height} \]
Since both the prism and pyramid have congruent bases and the same height, we can express the volume of the prism in terms of the volume of the pyramid.
Given that the volume of the pyramid is 48 in³:
\[ V_{\text{pyramid}} = \frac{1}{3} \times \text{Base Area} \times \text{Height} = 48 \text{ in}³ \]
To find the volume of the prism, we multiply the pyramid's volume by 3:
\[ V_{\text{prism}} = 3 \times V_{\text{pyramid}} = 3 \times 48 \text{ in}³ = 144 \text{ in}³ \]
Therefore, the volume of the prism is 144 in³.