To find the volume of the rectangular prism that has a congruent base and height to the pyramid, we can use the relationship between the volumes of a pyramid and a prism.
The volume \( V \) of a pyramid is given by the formula:
\[ V_{pyramid} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
And the volume \( V \) of a prism is given by:
\[ V_{prism} = \text{Base Area} \times \text{Height} \]
From the formulas, we can see that the volume of the prism is three times that of the pyramid because:
\[ V_{prism} = 3 \times V_{pyramid} \]
Given that the volume of the pyramid is \( 48 , in^3 \):
\[ V_{prism} = 3 \times 48 , in^3 = 144 , in^3 \]
Thus, the volume of the prism is 144 in³.