Sure! Let's solve the equation step-by-step.
We are given the equation:
[tex]\[
b^3 = 216
\][/tex]
To solve for [tex]\( b \)[/tex], we need to find the number which, when raised to the power of 3, equals 216. This is known as finding the cube root of 216.
Taking the cube root of both sides of the equation:
[tex]\[
b = \sqrt[3]{216}
\][/tex]
Upon finding the cube root of 216, we get:
[tex]\[
b \approx 5.999999999999999
\][/tex]
Since 5.999999999999999 is very close to 6, we can conclude that:
[tex]\[
b \approx 6
\][/tex]
Therefore, the precise value for [tex]\( b \)[/tex] is:
[tex]\[
b = 6
\][/tex]
The correct answer among the given choices is:
[tex]\[
b = 6
\][/tex]
