Wooden container

The cube-shaped wooden container should be covered with a metal sheet inside. The outer edge of the container is 54cm. The wall thickness is 25 mm. The container has no lid. Calculate. How many sheets will be needed to cover it?

Correct result:

S =  12495 cm²

Solution:

$$\begin{gathered} a=54\text{ cm } \\ h=25\text{ mm}\to \text{ cm}=25\mathrm{/}10\text{ cm}=2.5\text{ cm } \\ b=a-2\cdot h=54-2\cdot 2.5=49\text{ cm } \\ c=a-h=54-2.5={\displaystyle \frac{103}{2}}=51.5\text{ cm } \\ S=4\cdot b\cdot c+b^2=4\cdot 49\cdot 51.5+49^2=12495{\text{cm}}^2 \end{gathered}$$

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