# Cube surface and volume

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

Correct result:

V =  760.726 cm3

#### Solution:

$S=500 \ \text{cm}^2 \ \\ S=6a^2 \ \\ a=\sqrt{ S/6 }=\sqrt{ 500/6 } \doteq 9.1287 \ \text{cm} \ \\ \ \\ V=a^3=9.1287^3=760.726 \ \text{cm}^3$

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