Cube volume

The cube has a surface of 384 cm². Calculate its volume.

Correct answer:

V =  512 cm³

Step-by-step explanation:

$$\begin{gathered} S=384{\text{cm}}^2 \\ S=6a^2 \\ a=\sqrt{S\mathrm{/}6}=\sqrt{384\mathrm{/}6}=8 \\ V=a^3=8^3=512{\text{cm}}^3 \end{gathered}$$

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