The article presents a fundamentally new approach to the calculation of the volume of profile cubic capacity of embankments, excavations, as well as reserves and drainage ditches. New analytical dependences for calculation of volumes of profile cubic capacity of embankments, excavations, and also reserves and drainage ditches, on the basis of use of methods of integral calculation are deduced. Determined the relative error of calculation of the mentioned volumes of the relevant cubic capacity compared to the traditional methods of calculating these quantities. The results of the research can be used in the creation of information systems that quickly implement the proposed analytical dependences of more effective calculation indicators, as well as in the planning of large volumes of excavation. A rigorous proof of the proposed mathematical dependencies is carried out. Conducted an evaluation of the effectiveness of the proposed analytical dependencies in the calculation of the amount of the relevant cubic capacity of the embankments.