The article discusses the results of a study by the method of mathematical modeling and the influence of various factors on the properties of aerated concrete obtained on the basis of floating ash cenospheres. The use of the cenosphere of floating ash from thermal power plants for the production of aerated concrete and other materials is very important for solving many issues, including saving natural resources, reducing the cost of thermal energy, reducing the cost of building materials and environmental pollution from ash waste, etc. These studies pay great attention to devoted to the analysis and confirmation of the results of the experiment based on the methods of mathematical modeling. In the same mathematical way, conclusions were drawn on the correspondence between the results of preliminary and recent tests.