Also ich muss einen quader mit mehr als 1 m2 oberfläche haben und das volumen ist immer 1dm3 kann mir jemand helfen?

Hier noch einige Zahlenbeispiele!

Gruz radix !

Hallo Anonymous,

V = a*b*c = 1 dm³ = 1000 cm³                ( 1000 = 1*2*2*2*5*5*5 )

O = 2*(ab+ac+bc)  > 1 m²  >  10000 cm²

Zahlenbeispiel:

1.)  a= 1    b=  8     c= 125    => V= 1000       O = $${\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}{\mathtt{\,\times\,}}{\mathtt{125}}{\mathtt{\,\small\textbf+\,}}{\mathtt{8}}{\mathtt{\,\times\,}}{\mathtt{125}}\right) = {\mathtt{2\,266}}$$           zu wenig !!

2.)  a= 10   b= 10    c= 10   =>  V= 1000       O= $${\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{100}}\right) = {\mathtt{600}}$$        zu wenig !!

3.)  a= 0.1  b= 8  c= 1250    => V= 1000     

O = $${\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{0.1}}{\mathtt{\,\times\,}}{\mathtt{8}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.1}}{\mathtt{\,\times\,}}{\mathtt{1\,250}}{\mathtt{\,\small\textbf+\,}}{\mathtt{8}}{\mathtt{\,\times\,}}{\mathtt{1\,250}}\right) = {\mathtt{20\,251.6}}$$        passt !!

4.) a= 0.2   b= 4  c= 1250    => V =  $${\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{1\,250}} = {\mathtt{1\,000}}$$

O = $${\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{1\,250}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{1\,250}}\right) = {\mathtt{10\,501.6}}$$        passt  !!

Du siehst sicher schon, dass es unendlich viele Möglichkeiten gibt !

Gruß radix !