# 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$\sqrt{\mathrm{\left(4 * C\right) * V}}$ 0300 L = 4D = W D = 3$\sqrt{\mathrm{16 * V}}$

mm3