By Andreev theorem acute-angled polyhedra of finite vo-
lume in a hyperbolic space H<sup>3</sup> are uniquely determined by combinatorics
of their 1-skeletons and dihedral angles. For a class of compact right-
angled polyhedra and a class of ideal right-angled polyhedra estimates
of volumes in terms of the number of vertices were obtained by Atkin-
son in 2009. In the present paper upper estimates for both classes are
improved.
