Today the excellent book Cinceptual Ohysics had been opened by chance on a page showing comparison of total surface area of a cube to volume for different dimension in cm.
It is clear that as the side length increases the volume increases to the power of cube where area increases to the power or square.
A similar argument applies to a tetrahedron.
Is there a set of suitable dimensions where a cube and a tetrahedron have the same ratio of total surface area to volume?
What is this ratio by the way for an Auratone 5C speaker?
Total area may play an important role on linoleum made speakers as the concept behind them is that the sides may vibrate to radiate bass. And that walls are thin enough so as not to trap bass energy inside the enclosure. In an attempt to create minimal standing waves inside the enclosure.
So far at dimensions:
approx Standard Auratone 5C for cube
(The Pleiades linoleum cube is 6.5x6.5(front area)x5+7/8(depth) in inch
and
12in edge length for tetrahedron
The Pleiades cube gives almost flat frequency response on axis whereas the tetrahedron does not.
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