Metal sheet

Calculate how much sheet metal is needed to make a closed block-shaped container with dimensions of 2 m, 7 m, and 9 m if we must add 12% to the welds.

Final Answer:

S =  212.8 m²

Step-by-step explanation:

$$\begin{gathered} a=2\text{m} \\ b=7\text{m} \\ c=9\text{m} \\ {S}_1=2\cdot (a\cdot b+b\cdot c+c\cdot a)=2\cdot (2\cdot 7+7\cdot 9+9\cdot 2)=190{\text{m}}^2 \\ p=100\%+12\%=1+\frac{12}{100}=1.12 \\ S=S_1\cdot p=190\cdot 1.12=212.8{\text{m}}^2 \end{gathered}$$

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