The paper presents the possibility of using the dimensional analysis method to determine the relationship between the parametres of the printing process required in the production of corrugated packaging and the value of technological allowance (printing substrate surplus) for this process. Dimensional analysis using Buckingham (or Pi) theorem results in the dimensionless formulas that may be generalized based on the theory of process similarity. The formula resulting from this approach will allow for faster and more accurate determination of the printing substrate requirement, which is currently calculated on the basis of semi- empirical, simplified models, often requiring prior job contents knowledge. This paper presents a list of the job parametres, which may affect the value of technological allowances, and proposes a method to use them in actual printing plants. The formula is a convenient solution for use in IT systems supporting operation and management of print processes. The dependence presented here shall require that numerical coefficients are determined based on the real print jobs data from the printing plant.