Beispiel Nr: 01
$\text{Gegeben:}\\\text{Höhe} \qquad c \qquad [m] \\ \text{Breite} \qquad b \qquad [m] \\ \text{Länge} \qquad a \qquad [m] \\ \\ \text{Gesucht:} \\\text{Raumdiagonale} \qquad d \qquad [m] \\ \\ d = \sqrt{a^{2} +b^{2} +c^{2} }\\ \textbf{Gegeben:} \\ c=4m \qquad b=1m \qquad a=3m \qquad \\ \\ \textbf{Rechnung:} \\ d = \sqrt{a^{2} +b^{2} +c^{2} } \\ c=4m\\ b=1m\\ a=3m\\ d = \sqrt{(3m)^{2} +(1m)^{2} +(4m)^{2} }\\\\d=5,1m \\\\\\ \tiny \begin{array}{|l|} \hline c=\\ \hline 4 m \\ \hline 40 dm \\ \hline 400 cm \\ \hline 4\cdot 10^{3} mm \\ \hline 4\cdot 10^{6} \mu m \\ \hline 0,004 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline b=\\ \hline 1 m \\ \hline 10 dm \\ \hline 100 cm \\ \hline 10^{3} mm \\ \hline 10^{6} \mu m \\ \hline 0,001 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline a=\\ \hline 3 m \\ \hline 30 dm \\ \hline 300 cm \\ \hline 3\cdot 10^{3} mm \\ \hline 3\cdot 10^{6} \mu m \\ \hline 0,003 km \\ \hline \end{array} \tiny \begin{array}{|l|} \hline d=\\ \hline 5,1 m \\ \hline 51 dm \\ \hline 510 cm \\ \hline 5,1\cdot 10^{3} mm \\ \hline 5,1\cdot 10^{6} \mu m \\ \hline 0,0051 km \\ \hline \end{array}$