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Let $ABCDEFGH$ be a rectangular prism.  Find the volume of pyramid $CFAH$.

 Dec 26, 2023
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Since triangular pyramid $CFAH$ is exactly half of rectangular prism $ABCDEFGH$, the ratio of their volumes is $\boxed{\frac{1}{2}}$.

Alternatively, if we denote the side length of the rectangular prism as 1, then the volume of $ABCDEFGH$ is 1, so the volume of tetrahedron $CFAH$ is $\frac{1}{6}$, so the volume of pyramid $CFAH$ is $\frac{1}{6}/\frac{1}{2}=\boxed{\frac{1}{3}}$.

 Dec 26, 2023

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