The volume of a pyramid is given by the formula:
\[ V_{\text{pyramid}} = \frac{1}{3} \times B \times h \]
where \( B \) is the area of the base and \( h \) is the height.
The volume of a rectangular prism is given by the formula:
\[ V_{\text{prism}} = B \times h \]
Since both the prism and the pyramid have congruent bases and height, we can express the volume of the prism in relation to the volume of the pyramid.
The volume of the prism is three times the volume of the pyramid because:
\[ V_{\text{prism}} = 3 \times V_{\text{pyramid}} \]
Given that the volume of the pyramid is \( 48 , \text{in}^3 \), we can calculate the volume of the prism:
\[ V_{\text{prism}} = 3 \times 48 , \text{in}^3 = 144 , \text{in}^3 \]
So, the volume of the prism is \( 144 , \text{in}^3 \) (or 144 in. cubed). The correct response is:
144 in.3 (or 144 in. cubed).