# Volume and area

What is the volume of a cube which has area of 361 cm2?

Result

V =  466.696 cm3

#### Solution:

$S=361 \ \\ a=\sqrt{ S/6 }=\sqrt{ 361/6 } \doteq 7.7567 \ \\ V=a^3=7.7567^3 \doteq 466.6958 \doteq 466.696 \ \text{cm}^3$

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