Cube volume

The cube has a surface of 384 cm2. Calculate its volume.

Result

V =  512 cm3

Solution:

S=6a2 a=S/6 V=a3=(S/6)3=(S/6)3/2 V=(384/6)3/2=512 cm3S = 6a^2 \ \\ a = \sqrt{ S/ 6} \ \\ V = a^3 = (\sqrt{ S/ 6})^3 = (S/6)^{3/2} \ \\ V = (384/6)^{3/2} = 512 \ \text{cm}^3

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