The cube

The cube has a surface area of 486 m ^ 2. Calculate its volume.

Correct answer:

V =  729 m³

Step-by-step explanation:

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

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