Cube edges

The sum of the lengths of the cube edges is 42 cm. Calculate the surface of the cube.

Correct result:

S =  73.5 cm²

Solution:

$$\begin{gathered} s=42\text{ cm } \\ n=3\cdot 4=12 \\ a=s\mathrm{/}n=42\mathrm{/}12={\displaystyle \frac{7}{2}}=3\frac{1}{2}=3.5\text{ cm } \\ S=6\cdot a^2=6\cdot 3.5^2={\displaystyle \frac{147}{2}}=73\frac{1}{2}={\displaystyle \frac{147}{2}}{\text{cm}}^2=73.5{\text{cm}}^2 \end{gathered}$$

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