Area to volume

If the surface area of a cube is 486, find its volume.

Correct answer:

V =  729

Step-by-step explanation:

$$\begin{gathered} S=486 \\ S=6a^2 \\ a=\sqrt{S\mathrm{/}6}=\sqrt{486\mathrm{/}6}=9 \\ V=a^3=9^3=729 \end{gathered}$$

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