The volume of a rectangular pyramid is calculated using the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Given that the volume of the pyramid is \(480 , \text{in}^3\), we can relate it to the rectangular prism.
The volume of a rectangular prism is calculated using the formula:
\[ V = \text{Base Area} \times \text{Height} \]
Since the base area and height of the rectangular prism are congruent to those of the rectangular pyramid, the volume of the rectangular prism can be determined as follows:
The volume of the rectangular prism will be three times that of the pyramid, because:
\[ V_{\text{prism}} = 3 \times V_{\text{pyramid}} = 3 \times 480 , \text{in}^3 = 1440 , \text{in}^3 \]
Therefore, the volume of the rectangular prism is \(1440 , \text{in}^3\).