Dimensions 16493

How many square meters of material is needed to make two identical blocks with dimensions of 6 dm, 8 dm, and 12 dm if we count 8% of the material for folds? (Round to two decimal places. )

Correct answer:

x =  9.33 m²

Step-by-step explanation:

$$\begin{gathered} a=6\text{dm} \\ b=8\text{dm} \\ c=12\text{dm} \\ n=2 \\ q=100\%+8\%=1+\frac{8}{100}=1.08 \\ {S}_1=2\cdot (a\cdot b+b\cdot c+a\cdot c)=2\cdot (6\cdot 8+8\cdot 12+6\cdot 12)=432{\text{dm}}^2 \\ {S}_2=n\cdot S_1\cdot q=2\cdot 432\cdot 1.08=\frac{23328}{25}=933.12{\text{dm}}^2 \\ x=S_2\to {\text{m}}^2=S_2:100{\text{m}}^2=933.12:100{\text{m}}^2=9.33{\text{m}}^2=9.33{\text{m}}^2 \end{gathered}$$

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