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