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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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2
$a = ^{3} \sqrt{V}$
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2
$O = 6\cdot a^{2}$
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2
$a = \sqrt{\frac{O}{6}}$
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2
$d = a\cdot \sqrt{3}$
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$a = \frac{d}{\sqrt{3}}$
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Beispiel Nr: 02
$\begin{array}{l}
\text{Gegeben:}\\\text{Oberfläche} \qquad O \qquad [m^{2}] \\
\\ \text{Gesucht:} \\\text{Seite} \qquad a \qquad [m] \\
\\ a = \sqrt{\frac{O}{6}}\\ \textbf{Gegeben:} \\ O=2m^{2} \qquad \\ \\ \textbf{Rechnung:} \\
a = \sqrt{\frac{O}{6}} \\
O=2m^{2}\\
a = \sqrt{\frac{2m^{2}}{6}}\\\\a=0,577m
\\\\\\ \small \begin{array}{|l|} \hline O=\\ \hline 2 m^2 \\ \hline 200 dm^2 \\ \hline 2\cdot 10^{4} cm^2 \\ \hline 2\cdot 10^{6} mm^2 \\ \hline \frac{1}{50} a \\ \hline 0,0002 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline 0,577 m \\ \hline 5,77 dm \\ \hline 57,7 cm \\ \hline 577 mm \\ \hline 5,77\cdot 10^{5} \mu m \\ \hline \end{array} \end{array}$