Beispiel Nr: 01
$ \text{Gegeben:}\\\text{Höhe} \qquad c \qquad [m] \\ \text{Länge} \qquad a \qquad [m] \\ \text{Raumdiagonale} \qquad d \qquad [m] \\ \\ \text{Gesucht:} \\\text{Breite} \qquad b \qquad [m] \\ \\ b = \sqrt{d^{2} -a^{2} -c^{2} }\\ \textbf{Gegeben:} \\ c=3m \qquad a=3m \qquad d=6m \qquad \\ \\ \textbf{Rechnung:} \\ b = \sqrt{d^{2} -a^{2} -c^{2} } \\ c=3m\\ a=3m\\ d=6m\\ b = \sqrt{(6m)^{2} -(3m)^{2} -(3m)^{2} }\\\\b=4,24m \\ \small \begin{array}{|l|} \hline c=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline 0,003 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline a=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline 0,003 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline d=\\ \hline 6 m \\ \hline 60 dm \\ \hline 600 cm \\ \hline 6\cdot 10^{3} mm \\ \hline 6\cdot 10^{6} \mu m \\ \hline 0,006 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline b=\\ \hline 4,24 m \\ \hline 42,4 dm \\ \hline 424 cm \\ \hline 4,24\cdot 10^{3} mm \\ \hline 4,24\cdot 10^{6} \mu m \\ \hline 0,00424 km \\ \hline \end{array}\\$