  By Andreev theorem acute-angled polyhedra of finite volume in a hyperbolic
space $\mathbb H^{3}$ 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 Atkinson in 2009. In the present paper
upper estimates for both classes are improved.
