Box or room frequency resonance calculating guide

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How is box size or room size calculated for its resonant frequency.(node?)

Example 12"x12"x12" box

And 16 feet square room with 8 foot high ceiling

When this is found will they both resonate within a 1/4 wavelength of the fundamental frequency

Not exactly speaker related but looking at possibly tuning a large box

Bit vague I know,
 
f (i,j,k) = 0.5*c*sqrt((i/L)^2+(j/W)^2+(k/H)^2)
f = frequency
c = speed of sound
i,j,k are integers (0,1,2,3,4, etc...)
L is length
W is width
H is height

c=345 meters per second or 1130 feet per second
L, W, H in meters or feet (same units as c)

f(1,0,0) is axial mode related to length
f(1,1,0) is tangential mode related to length and width (bounces off 4 walls)
f(1,1,1) is oblique mode related to all dimensions (bounces off of all walls)

axial modes are strongest, followed by tangential then oblique.

Truthfully, all rooms are bad, but some are slightly better than others.
 
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