To find the volume of the rectangular prism that has the same base area and height as the rectangular pyramid, we can start by recalling the formulas for the volume of both shapes.
The volume \( V \) of a pyramid is given by:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
And the volume \( V \) of a prism is given by:
\[ V = \text{Base Area} \times \text{Height} \]
Since the pyramid has a volume of 480 in³, we can set up the equation for the volume of the prism involving the same base area and height. Denote the base area of the pyramid as \( B \) and its height as \( h \). Therefore, we have:
\[ 480 = \frac{1}{3} \times B \times h \]
To find the prism's volume:
\[ V_{\text{prism}} = B \times h \]
Now, we can express \( B \times h \) in terms of the pyramid’s volume. We rearrange the pyramid’s volume formula to find \( B \times h \):
\[ B \times h = 3 \times 480 = 1440 \]
Thus, the volume of the rectangular prism is:
\[ V_{\text{prism}} = 1440 , \text{in}^3 \]
So the volume of the prism is 1440 in³.