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For questions where the dynamical variables are classical fields, that is, functions of several variables (typically, one time coordinate and several space coordinates). If the question comprises both classical and quantum fields, use the tag [field-theory] instead.

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Resonant cavity for sound waves

The equation for the resonant frequencies are correct. To get to that equation you indeed need to impose the boundary conditions such that at the boundaries the wave vanishes, which is at $x=y=z=0$, $ …
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