To find the volume of the rectangular prism given that its base and height are congruent to those of the pyramid, we will use the formula for the volume of both shapes.
The volume \( V \) of a pyramid is given by:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
In this case, we know the pyramid has a volume of 480 in³. Therefore, we can express the volume of the pyramid as:
\[ 480 = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
For a rectangular prism, the volume \( V \) is calculated with the formula:
\[ V = \text{Base Area} \times \text{Height} \]
Since the base and height of the prism are congruent to those of the pyramid, we can relate the volumes of the two shapes. Specifically, the height of the prism is equal to the height of the pyramid, and the base area is congruent to the base area of the pyramid.
Given that the volume of the pyramid is \( 480 \) in³, the volume of the prism can be calculated as follows. The prism's volume is three times that of the pyramid since it does not have the 1/3 factor that the pyramid volume formula has:
\[ V_{\text{prism}} = 3 \times V_{\text{pyramid}} = 3 \times 480 = 1440 , \text{in}^3 \]
Thus, the volume of the rectangular prism is \( \boxed{1440} , \text{in}^3 \).