Most Economic Size Ratios

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The formulas below were calculated using partial differentiation.  Naturally, it is impossible to include bend allowances or manufacturing joints in such formulas, as they bear no direct relationship to board area in terms of length, width and depth. 

L = length of pack.
W = width of pack.
D = depth of pack.
V = volume of pack.
C = the proportion of the width which is to be covered by the outer flaps, expressed as a fraction of the width.  

FEFCO Style	Most Economic Proportions	Formula for Calculating Depth Size
0201	L = D = 2W	D = 3$\sqrt{\mathrm{2\; *\; V}}$
0204	2L = D = 2W	D = 3$\sqrt{\mathrm{4\; *\; V}}$
0206	2L = D = 4W	D = 3$\sqrt{\mathrm{8\; *\; V}}$
0209	L = D/C = 2W	W = 3$\sqrt{\mathrm{(4\; *\; C)\; *\; V}}$
0300	L = 4D = W	D = 3$\sqrt{\mathrm{16\; *\; V}}$

mm³

More information can be found in the Packaging Knowledgebase