Abstract:
Main result of this work is a formula for calculation of volume of compact quadrangular prism of special type. We prove that any acute prism in $H^3$ can be divided into finite number of given type. So, it gives an algorithm to find volume of arbitrary $n$-angled prism in $H^3$ with dihedral angles less than $\pi/2$. Also, we state the full classification of quadrangular Coxeter prisms in $H^3$. In addendum, there are all 30 Coxeter schemes, corresponding to quadrangular prisms and their hyperbolic volumes.