Wrapping 36303

How much will we pay for wrapping 5 boxes in the shape of a cube with a side length of 80 cm if we count on a margin of 35% for folds? The price for 1 square meter of paper is €2.55. You can only buy whole square meters.

Correct answer:

x =  66.3 Eur

Step-by-step explanation:

$$\begin{gathered} n=5 \\ a=80\text{cm}\to \text{m}=80:100\text{m}=0.8\text{m} \\ q=100\%+35\%=1+\frac{35}{100}=1.35 \\ c=2.55{\text{Eur/m}}^2 \\ {S}_1=6\cdot a^2=6\cdot 0.8^2=\frac{96}{25}=3.84{\text{m}}^2 \\ {S}_2=n\cdot q\cdot S_1=5\cdot 1.35\cdot 3.84=\frac{648}{25}=25.92{\text{m}}^2 \\ {S}_3=\lceil S_2\rceil =\lceil 25.92\rceil =26{\text{m}}^2 \\ x=c\cdot S_3=2.55\cdot 26=66.3\text{Eur} \end{gathered}$$

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