To solve the formula [tex]\( V = B \cdot h \)[/tex] for [tex]\( h \)[/tex], follow these steps:
1. Start with the equation:
[tex]\[ V = B \cdot h \][/tex]
2. Isolate [tex]\( h \)[/tex]:
To isolate [tex]\( h \)[/tex], divide both sides of the equation by [tex]\( B \)[/tex]. This works because dividing by [tex]\( B \)[/tex] (assuming [tex]\( B \neq 0 \)[/tex]) will cancel out the [tex]\( B \)[/tex] on the right side of the equation.
[tex]\[ \frac{V}{B} = \frac{B \cdot h}{B} \][/tex]
3. Simplify the right side:
When you divide [tex]\( B \cdot h \)[/tex] by [tex]\( B \)[/tex], the [tex]\( B \)[/tex] terms cancel out.
[tex]\[ \frac{V}{B} = h \][/tex]
Hence, the solution for [tex]\( h \)[/tex] is:
[tex]\[ h = \frac{V}{B} \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{A \; h = \frac{V}{B}} \][/tex]
