## Task 6 - V00706

For the housing of a household scale, a rectangular metal strip measuring $390 \mathrm{~mm}$ in length and $85 \mathrm{~mm}$ in width was used at the VEB Thüringer Industriewerk Rauenstein. The thickness of the material was $2.5 \mathrm{~mm}$.

Through an improvement suggestion, it was possible to use $2 \mathrm{~mm}$ thick sheet metal.

Calculate the material savings in $\mathrm{t}$ for a production run of 100000 units!

(Density of iron $7.8 \mathrm{~g} \cdot \mathrm{cm}^{-3}$ )
The rectangular metal strip originally has a volume of $V_{1}=a \cdot b \cdot c=39 \cdot 8.5 \cdot 0.25=82.875 \mathrm{~cm}^{3}$. After the savings, it is still $66.3 \mathrm{~cm}^{3}$, i.e., a volume savings of $16.575 \mathrm{~cm}^{3}$. With the density of iron, this amounts to 129.285 g.

Since a total of 100000 sheets are to be produced, 12,9285 t $\approx 13 \mathrm{t}$ of material will be saved.