To find the volume of the rectangular prism when given the volume of a pyramid with congruent bases and the same height, we can use the formula for the volume of both shapes.
The volume \( V \) of a pyramid is given by the formula:
\[ V_{\text{pyramid}} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
The volume \( V \) of a prism is given by:
\[ V_{\text{prism}} = \text{Base Area} \times \text{Height} \]
Since the pyramid has the same base area and height as the prism, we can express the relationship between their volumes:
\[ V_{\text{pyramid}} = \frac{1}{3} \times V_{\text{prism}} \]
Given that the volume of the pyramid is \( 48 , \text{in}^3 \), we can set up the equation:
\[ 48 = \frac{1}{3} \times V_{\text{prism}} \]
To find the volume of the prism, multiply both sides by 3:
\[ V_{\text{prism}} = 48 \times 3 = 144 , \text{in}^3 \]
Therefore, the volume of the prism is:
\[ \boxed{144 , \text{in}^3} \]
The answer is (D) 144 in³.