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$ V = a^{3} $
$ a = ^{3} \sqrt{V} $
$ O = 6\cdot a^{2} $
$ a = \sqrt{\frac{O}{6}} $
$ d = a\cdot \sqrt{3} $
$ a = \frac{d}{\sqrt{3}} $
Geometrie-Stereometrie-Würfel
$V = a^{3}$
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$a = ^{3} \sqrt{V}$
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$O = 6\cdot a^{2}$
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$a = \sqrt{\frac{O}{6}}$
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$d = a\cdot \sqrt{3}$
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$a = \frac{d}{\sqrt{3}}$
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Beispiel Nr: 01
$\begin{array}{l}
\text{Gegeben:}\\\text{Raumdiagonale} \qquad d \qquad [m] \\
\\ \text{Gesucht:} \\\text{Seite} \qquad a \qquad [m] \\
\\ a = \frac{d}{\sqrt{3}}\\ \textbf{Gegeben:} \\ d=9m \qquad \\ \\ \textbf{Rechnung:} \\
a = \frac{d}{\sqrt{3}} \\
d=9m\\
a = \frac{9m}{\sqrt{3}}\\\\a=5,2m
\\\\\\ \small \begin{array}{|l|} \hline d=\\ \hline 9 m \\ \hline 90 dm \\ \hline 900 cm \\ \hline 9\cdot 10^{3} mm \\ \hline 9\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 5,2 m \\ \hline 52 dm \\ \hline 520 cm \\ \hline 5,2\cdot 10^{3} mm \\ \hline 5,2\cdot 10^{6} \mu m \\ \hline \end{array} \end{array}$