To find the volume of a rectangular pyramid that has the same base area and height as a rectangular prism, we can use the volume formulas for both shapes.
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The volume \( V \) of a rectangular prism is given by: \[ V_{\text{prism}} = \text{Base Area} \times \text{Height} \] In this case, we know the volume of the prism is 27 in³.
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The volume \( V \) of a rectangular pyramid is given by: \[ V_{\text{pyramid}} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Since the base area and height of the pyramid are the same as that of the prism, we can substitute the prism volume into the pyramid volume formula:
\[ V_{\text{pyramid}} = \frac{1}{3} \times V_{\text{prism}} \]
Now substituting the volume of the prism into this formula:
\[ V_{\text{pyramid}} = \frac{1}{3} \times 27 \text{ in}^3 \] \[ V_{\text{pyramid}} = 9 \text{ in}^3 \]
Thus, the volume of the pyramid is \( \boxed{9} \) in³.