In this dissertation we collects some important formulas on hyperbolic volume. To determine concrete values of the volume function of polyhedra is a very hard question requiring the knowledge of various methods. Our goal is to give (in 3.3, Theorem 2.3.3) a new non-elementary integral on the volume of the orthoscheme (to obtain it without the Lobachevsky- Schl?fli differential formula), using edge-lengths as the only parameters. At first we recall c oncepts and p reliminaries from foundations of hyperbolic geometry. Then, we give certain formulas to some important coordinate systems and models, respectively. Afterwareds, we collect the stroked="f" filled="f" path="m@4@5l@4@11@9@11@9@5xe" o:preferrelative="t" o:spt="75" coordsize="21600,21600" (used by Bolyai expressing the curvature of the hyperbolic space in the modern terminology). The type="#_x0000_t75" in (the type="#_x0000_t75" , where in is the image of domain in by and is a constant which we will choose . Our first volume formula is . V olume formula in the Poincare half-space model is defined by . Moreover, we will take h yperbolic orthogonal coordinate system, c oordinate system based on hyperbolic spherical coordinates, and v olume in the projective model under consideration. Finally, a series of concrete volume formulas will be introduced such as Equidistant body, Paraspherical sector, Ball, Orthoscheme.