$l=4\mathrm{c}\mathrm{m}l=4\backslash ,\backslash mathrm\{cm\}$

$b=\mathrm{3,2}\mathrm{c}\mathrm{m}b=3\{,\}2\backslash ,\backslash mathrm\{cm\}$

$h=\mathrm{2,5}\mathrm{c}\mathrm{m}h=2\{,\}5\backslash ,\backslash mathrm\{cm\}$

Für die Oberfläche eines Quaders gilt:

$O_{\mathrm{Q}\mathrm{u}\mathrm{a}\mathrm{d}\mathrm{e}\mathrm{r}}=2\cdot (l\cdot b+l\cdot h+b\cdot h)O\_\backslash mathrm\{Quader\}=2\backslash cdot\backslash left(l\backslash cdot\; b+l\backslash cdot\; h+b\backslash cdot\; h\backslash right)$

Berechne die Deck- und Grundfläche: $[2\cdot (l\cdot b)]\backslash left[2\backslash cdot\backslash left(l\backslash cdot\; b\backslash right)\backslash right]$

Berechne die Vorder- und Rückfläche: $[2\cdot (h\cdot b)]\backslash left[2\backslash cdot\backslash left(h\backslash cdot\; b\backslash right)\backslash right]$

$2\cdot (\mathrm{3,2}\mathrm{c}\mathrm{m}\cdot \mathrm{2,5}\mathrm{c}\mathrm{m})=16{\mathrm{c}\mathrm{m}}^{2}2\backslash cdot\backslash left(3\{,\}2\backslash ,\backslash mathrm\{cm\}\backslash cdot2\{,\}5\backslash ,\backslash mathrm\{cm\}\backslash right)=16\backslash ,\backslash mathrm\{cm\}^2$

Berechne die Seitenflächen: $[2\cdot (l\cdot h)]\backslash left[2\backslash cdot\backslash left(l\backslash cdot\; h\backslash right)\backslash right]$

$2\cdot (4\mathrm{c}\mathrm{m}\cdot \mathrm{2,5}\mathrm{c}\mathrm{m})=20{\mathrm{c}\mathrm{m}}^{2}2\backslash cdot\backslash left(4\backslash ,\backslash mathrm\{cm\}\backslash cdot2\{,\}5\backslash ,\backslash mathrm\{cm\}\backslash right)=20\backslash ,\backslash mathrm\{cm\}^2$

Berechne die Oberfläche als Summe der vorher bestimmten Werte.

$O_{\mathrm{Q}\mathrm{u}\mathrm{a}\mathrm{d}\mathrm{e}\mathrm{r}}=\mathrm{25,6}{\mathrm{c}\mathrm{m}}^2+20{\mathrm{c}\mathrm{m}}^2+16{\mathrm{c}\mathrm{m}}^2=\mathrm{61,6}{\mathrm{c}\mathrm{m}}^2\mathrm{.}O\_\backslash mathrm\{Quader\}=25\{,\}6\backslash ,\backslash mathrm\{cm\}^2+20\backslash ,\backslash mathrm\{cm\}^2+16\backslash ,\backslash mathrm\{cm\}^2=61\{,\}6\backslash ,\backslash mathrm\{cm\}^2.$

$\Rightarrow \backslash ;\backslash ;\backslash Rightarrow\backslash ;\backslash ;$ Die Oberfläche des Quaders beträgt $\mathrm{61,6}{\mathrm{c}\mathrm{m}}^{2}61\{,\}6\backslash ,\backslash mathrm\{cm\}^2$.