Keywords: earthworks, ditch volume, relative error, vegetative soil, Simpson's formula

// Мелиорация.– 2021. – №4(98) – P 18–25

The relative error of the methods for calculating the geometric volume of the ditch according to the known formulas is analyzed and an algorithm for calculating the pit by the coordinates of its vertices is proposed (author – A. A. Levitsky). The proportion of earthworks in hydrotechnical engineering is more than 20 % in terms of labor intensity and about 15 % in terms of cost; therefore, it is important to determine the exact geometric volume. The volume of the pit, calculated using the CAD program AutoCAD, was taken as the true value in determining the relative error of the calculation formulas.