The volume of a pyramid is given by the formula:
\[ V_{pyramid} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
The volume of a rectangular prism is given by:
\[ V_{prism} = \text{Base Area} \times \text{Height} \]
Since both the pyramid and prism 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 \( 48 , \text{in}^3 \), we can use the relationship between the volumes:
\[ V_{prism} = 3 \times V_{pyramid} \]
Substituting the known volume of the pyramid:
\[ V_{prism} = 3 \times 48 , \text{in}^3 = 144 , \text{in}^3 \]
Therefore, the volume of the prism is \( 144 , \text{in}^3 \).