Answer:
The dimensionality of B is length per cubic time.
Explanation:
Units for displacement and time are length [tex][L][/tex] and time [tex][T][/tex], respectively. Then, formula can be tested for dimensional analysis as follows:
[tex][L] = B\cdot [T]^{3}[/tex]
Now, let is clear [tex]B[/tex] to determine its units:
[tex]B = \frac{[L]}{[T]^{3}}[/tex]
The dimensionality of B is length per cubic time.
