Cube surface and volume

The surface of the cube is 500 cm², how much cm³ will be its volume?

Correct answer:

V =  760.7258 cm³

Step-by-step explanation:

$$\begin{gathered} S=500{\text{cm}}^2 \\ S=6a^2 \\ a=\sqrt{S\mathrm{/}6}=\sqrt{500\mathrm{/}6}\doteq 9.1287\text{ cm } \\ V=a^3=9.1287^3=760.7258{\text{cm}}^3 \end{gathered}$$

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