Cube wall

Calculate the cube's diagonal if you know that one wall's surface is equal to 36 centimeters square. Please also calculate its volume.

Correct answer:

u =  10.3923 cm
V =  216 cm³

Step-by-step explanation:

$$\begin{gathered} S_1=36{\text{cm}}^2 \\ a=\sqrt{S_1}=\sqrt{36}=6 \\ u=\sqrt{3}\cdot a=\sqrt{3}\cdot 6=6\sqrt{3}=10.3923\text{ cm} \end{gathered}$$

$V=a^3=6^3=216{\text{cm}}^3$

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