The purpose of this paper is to investigate those products which are produced by powder compaction procedure under the low rate impact loading by a drop hammer, both theretically and numerically. Experimental section includes checking the efficiency of density, bending strength and elasticity modulus of the product from grain size and different levels of energy. Two kinds of pure aluminum powder in three different size and also their combination with ceramic are used to obtain this. In the numerical section, dimension analysis method is applied in which non-dimensional models for density, bending strength, and elasticity modulus are presented in form of mathematical functions by means of experimental characteristics and data which are categorized to input and output. The purpose of determination of this model is to reach a reliable and satisfactory prediction for final properties of products subjected to impact loading condition. It is worth to note that singular value decomposition approach is used for calculation of linear coefficients vector which has been obtained by non-dimensional parameters.A comparison between these results and experimental data is done by mathematical functions in order to validate the results. The investigation of training and prediction data errors which has been based on root of mean of squares of error and coefficient of determination shows that the obtained results through mathematical functions have acceptable accuracy; hence utilization of the presented mathematical models for predicting the final properties of product subjected to impact loading is desirable.