Body diagonal

Find the cube surface if its body diagonal has a size of 6 cm.

Correct answer:

S =  72 cm²

Step-by-step explanation:

$$\begin{gathered} u=6 \\ a=u\mathrm{/}\sqrt{3}=6\mathrm{/}\sqrt{3}=2\sqrt{3}\doteq 3.4641 \\ S=6\cdot a^2=6\cdot 3.4641^2=72{\text{cm}}^2 \end{gathered}$$

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