Beispiel Nr: 02
$ \text{Gegeben:}\\\text{Höhe} \qquad c \qquad [m] \\ \text{Breite} \qquad b \qquad [m] \\ \text{Länge} \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Raumdiagonale} \qquad d \qquad [m] \\ \\ d = \sqrt{a^{2} +b^{2} +c^{2} }\\ \textbf{Gegeben:} \\ c=7m \qquad b=5m \qquad a=6m \qquad \\ \\ \textbf{Rechnung:} \\ d = \sqrt{a^{2} +b^{2} +c^{2} } \\ c=7m\\ b=5m\\ a=6m\\ d = \sqrt{(6m)^{2} +(5m)^{2} +(7m)^{2} }\\\\d=10,5m \\ \small \begin{array}{|l|} \hline c=\\ \hline 7 m \\ \hline 70 dm \\ \hline 700 cm \\ \hline 7\cdot 10^{3} mm \\ \hline 7\cdot 10^{6} \mu m \\ \hline 0,007 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline b=\\ \hline 5 m \\ \hline 50 dm \\ \hline 500 cm \\ \hline 5\cdot 10^{3} mm \\ \hline 5\cdot 10^{6} \mu m \\ \hline 0,005 km \\ \hline \end{array}\\ \small \begin{array}{|l|} \hline a=\\ \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 d=\\ \hline 10,5 m \\ \hline 105 dm \\ \hline 1,05\cdot 10^{3} cm \\ \hline 1,05\cdot 10^{4} mm \\ \hline 1,05\cdot 10^{7} \mu m \\ \hline 0,0105 km \\ \hline \end{array}\\$