Box metal

A box is shaped like a cube with an edge of 52 cm.
How many m² of sheet metal are needed to make the box with a lid? Add 5% for the folds of the lid and walls.

Final Answer:

x =  1.7035 m²

Step-by-step explanation:

$$\begin{gathered} a=52/100=\frac{13}{25}=0.52\text{m} \\ {S}_1=a^2=0.52^2=\frac{169}{625}=0.2704{\text{m}}^2 \\ S=6\cdot a^2=6\cdot 0.52^2=\frac{1014}{625}=1.6224{\text{m}}^2 \\ x=(1+5/100)\cdot S=(1+5/100)\cdot 1.6224=1.7035{\text{m}}^2 \end{gathered}$$

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