To find the volume of the rectangular prism that has the same base and height as the rectangular pyramid, we need to understand the relationship between their volumes.
The formula for the volume of a pyramid is given by:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
For the rectangular prism, the volume is given by:
\[ V = \text{Base Area} \times \text{Height} \]
Since the volume of the pyramid is given as 480 in³, we can denote the base area of the rectangular pyramid as \( B \) and its height as \( h \). Therefore, we can write the volume of the pyramid as:
\[ 480 = \frac{1}{3} \times B \times h \]
To find the volume of the rectangular prism, we multiply the same base area \( B \) by the same height \( h \):
\[ V_{\text{prism}} = B \times h \]
Now, we can express the volume of the rectangular prism in terms of the volume of the pyramid:
\[ V_{\text{prism}} = 3 \times V_{\text{pyramid}} = 3 \times 480 \]
Calculating this gives:
\[ V_{\text{prism}} = 1440 , \text{in}^3 \]
Thus, the volume of the rectangular prism is \( \boxed{1440} , \text{in}^3 \).