Geometrie-Stereometrie-Prisma

• $V = G\cdot h$
1 2
$G = \frac{V}{h}$
1 2
$h = \frac{V}{G}$
1 2
$O = 2\cdot G +M$
1 2 3
$G = \frac{O-M}{2}$
1 2
$M = O- 2\cdot G$
1 2 3

Beispiel Nr: 01
$\text{Gegeben:}\\\text{Körperhöhe} \qquad h \qquad [m] \\ \text{Grundfläche} \qquad G \qquad [m^{2}] \\ \\ \text{Gesucht:} \\\text{Volumen} \qquad V \qquad [m^{3}] \\ \\ V = G\cdot h\\ \textbf{Gegeben:} \\ h=5m \qquad G=6m^{2} \qquad \\ \\ \textbf{Rechnung:} \\ V = G\cdot h \\ h=5m\\ G=6m^{2}\\ V = 6m^{2}\cdot 5m\\\\V=30m^{3} \\\\\\ \small \begin{array}{|l|} \hline h=\\ \hline 5 m \\ \hline 50 dm \\ \hline 500 cm \\ \hline 5\cdot 10^{3} mm \\ \hline 5\cdot 10^{6} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline G=\\ \hline 6 m^2 \\ \hline 600 dm^2 \\ \hline 6\cdot 10^{4} cm^2 \\ \hline 6\cdot 10^{6} mm^2 \\ \hline \frac{3}{50} a \\ \hline 0,0006 ha \\ \hline \end{array} \small \begin{array}{|l|} \hline V=\\ \hline 30 m^3 \\ \hline 3\cdot 10^{4} dm^3 \\ \hline 3\cdot 10^{7} cm^3 \\ \hline 3\cdot 10^{10} mm^3 \\ \hline 3\cdot 10^{4} l \\ \hline 300 hl \\ \hline \end{array}$