To solve the given problem, we start with the provided formula:
[tex]\[ B = m \cdot k^3 \][/tex]
We are also given the value of [tex]\( m \)[/tex]:
[tex]\[ m = 0 \][/tex]
Now, let's substitute the value of [tex]\( m \)[/tex] into the formula:
[tex]\[ B = 0 \cdot k^3 \][/tex]
Since any number multiplied by zero is zero, it does not matter what value [tex]\( k \)[/tex] takes. The result will always be:
[tex]\[ B = 0 \][/tex]
Therefore, the value of [tex]\( B \)[/tex] is:
[tex]\[ \boxed{0} \][/tex]