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$ V = a\cdot b\cdot c $
$ a = \frac{ V}{b\cdot c} $
$ b = \frac{ V}{a\cdot c} $
$ c = \frac{ V}{b\cdot a} $
$ O = 2\cdot (a\cdot b + a\cdot c + b\cdot c) $
$ a = \frac{O-2\cdot b\cdot c}{2\cdot (b+c)} $
$ b = \frac{O-2\cdot a\cdot c}{2\cdot (a+c)} $
$ c = \frac{O-2\cdot b\cdot a}{2\cdot (b+a)} $
$ d = \sqrt{a^{2} +b^{2} +c^{2} } $
$ a = \sqrt{d^{2} -b^{2} -c^{2} } $
$ b = \sqrt{d^{2} -a^{2} -c^{2} } $
$ c = \sqrt{d^{2} -b^{2} -a^{2} } $
Geometrie-Stereometrie-Quader
$V = a\cdot b\cdot c$
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$a = \frac{ V}{b\cdot c}$
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$b = \frac{ V}{a\cdot c}$
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$c = \frac{ V}{b\cdot a}$
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$O = 2\cdot (a\cdot b + a\cdot c + b\cdot c)$
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$a = \frac{O-2\cdot b\cdot c}{2\cdot (b+c)}$
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$b = \frac{O-2\cdot a\cdot c}{2\cdot (a+c)}$
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$c = \frac{O-2\cdot b\cdot a}{2\cdot (b+a)}$
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$d = \sqrt{a^{2} +b^{2} +c^{2} }$
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$a = \sqrt{d^{2} -b^{2} -c^{2} }$
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$b = \sqrt{d^{2} -a^{2} -c^{2} }$
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$c = \sqrt{d^{2} -b^{2} -a^{2} }$
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