If a resonant cavity resonates at half of the wavelength of its width, which is easy to understand with a spherical resonant cavity, but how can there be one resonant frequency of a cavity resonator that is the shape of a cuboid/box when there are an infinite number of different distances that vary all the way from the two farthest corners, to the closest distance between 2 walls, and if they all resonate at the half wavelength that's a lot of frequencies. So how can there be just 1 resonant frequency for the square prism, cuboid?

 

Take the time to at least study the basic root principles of EM wave propagation in free-space and confined spaces before asking such questions. EM waves don't have infinite degrees of freedom or infinite speeds when they exist and propagate. There are rules just like everything else in the universe. Without an understanding of those rules answers to your questions are useless.
https://archive.org/details/in.ernet.dli.2015.177615

https://www.testandmeasurementtips.com/basics-of-tem-te-and-tm-propagation/
https://www.electronics-notes.com/a...nsmission-lines/waveguide-modes-te-tm-tem.php

 

So how can there be just 1 resonant frequency for the square prism, cuboid?

http://www.soundobject.org/papers/fonrocapo.pdf

 

Take the time to at least study the basic root principles of EM wave propagation in free-space and confined spaces before asking such questions. EM waves don't have infinite degrees of freedom or infinite speeds when they exist and propagate. There are rules just like everything else in the universe. Without an understanding of those rules answers to your questions are useless.
https://archive.org/details/in.ernet.dli.2015.177615

https://www.testandmeasurementtips.com/basics-of-tem-te-and-tm-propagation/
https://www.electronics-notes.com/a...nsmission-lines/waveguide-modes-te-tm-tem.php

so there are multiple frequencies that would propagate/resonate inside a cuboid, so it has no exact precise resonant frequency

 

http://www.soundobject.org/papers/fonrocapo.pdf
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so there are multiple frequencies that would propagate/resonate inside a cuboid, so it has no exact one precise resonant frequency