3. The product of the areas of the six faces of a rectangular prism is 14641, then the volume of the rectangular prism is

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【Analysis】Let the length, width, and height of the rectangular prism be $a$, $b$, and $c$,
$$
\begin{aligned}
\left(a^{2} b^{2} c^{2}\right)^{2} & =14641 \\
a^{2} b^{2} c^{2} & =121 \\
(a b c)^{2} & =121 \\
a b c & =11
\end{aligned}
$$