# Cube surface and volume

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

Result

V =  760.726 cm3

#### Solution:

$S = 500 \ cm^2 \ \\ S = 6a^2 \ \\ a = \sqrt{ S/6 } = \sqrt{ 500/6 } \doteq 9.1287 \ cm \ \\ \ \\ V = a^3 = 9.1287^3 \doteq 760.7258 = 760.726 \ cm^3$

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