Quader

$ V = a\cdot b\cdot c $

$ a = \frac{ V}{b\cdot c} $

$ b = \frac{ V}{a\cdot c} $

$ c = \frac{ V}{b\cdot a} $

$ O = 2\cdot (a\cdot b + a\cdot c + b\cdot c) $

$ a = \frac{O-2\cdot b\cdot c}{2\cdot (b+c)} $

$ b = \frac{O-2\cdot a\cdot c}{2\cdot (a+c)} $

$ c = \frac{O-2\cdot b\cdot a}{2\cdot (b+a)} $

$ d = \sqrt{a^{2} +b^{2} +c^{2} } $

$ a = \sqrt{d^{2} -b^{2} -c^{2} } $

$ b = \sqrt{d^{2} -a^{2} -c^{2} } $

$ c = \sqrt{d^{2} -b^{2} -a^{2} } $

Geometrie-Stereometrie-Quader

$\begin{array}{l} \text{Gegeben:}\\\text{Höhe} \qquad c \qquad [m] \\ \text{Breite} \qquad b \qquad [m] \\ \text{Länge} \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Volumen} \qquad V \qquad [m^{3}] \\ \end{array}$

c [ ]= b [ ]= a [ ]=