Cube surfce2volume

Calculate the volume of the cube if its surface is 150 cm2.

Correct result:

V =  125 cm3

Solution:

S=150 cm2 S=6a2  a=S/6=150/6=5 cm  V=a3=53=125 cm3S=150 \ \text{cm}^2 \ \\ S=6a^2 \ \\ \ \\ a=\sqrt{ S/6 }=\sqrt{ 150/6 }=5 \ \text{cm} \ \\ \ \\ V=a^3=5^3=125 \ \text{cm}^3

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