The volume of a prism is calculated using the formula:
\[ V_{\text{prism}} = B \cdot h \]
where \(B\) is the area of the base and \(h\) is the height. The volume of a pyramid with the same base and height is given by the formula:
\[ V_{\text{pyramid}} = \frac{1}{3} B \cdot h \]
From your question, we know that the volume of the prism is \(600 , \text{ft}^3\). Since both shapes share the same base area \(B\) and height \(h\), we can derive the volume of the pyramid.
Using the volume of the prism, we can express the volume of the pyramid as:
\[ V_{\text{pyramid}} = \frac{1}{3} V_{\text{prism}} = \frac{1}{3} \times 600 , \text{ft}^3 = 200 , \text{ft}^3 \]
Thus, the volume of the pyramid is:
200 ft³.