To find the side length of a cube with a volume of [tex]\( 27 \)[/tex] cubic centimeters, let's follow the steps mentioned:
1. Substitute the given volume into the formula for the volume of a cube, [tex]\( V = s^3 \)[/tex]:
[tex]\[
27 = s^3
\][/tex]
2. To find the side length [tex]\( s \)[/tex], we need to solve for [tex]\( s \)[/tex] by taking the cube root of both sides of the equation:
[tex]\[
\sqrt[3]{27} = s
\][/tex]
3. Calculate the cube root of 27:
[tex]\[
s = 3 \quad \text{because} \quad 3^3 = 3 \cdot 3 \cdot 3 = 27
\][/tex]
Therefore, the side length of the cube is [tex]\( 3 \)[/tex] cm.
