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Solve the formula [tex]\( V = Bh \)[/tex] for [tex]\( h \)[/tex].

A. [tex]\( h = \frac{V}{B} \)[/tex]

B. [tex]\( h = BV \)[/tex]

C. [tex]\( h = \frac{B}{V} \)[/tex]

D. [tex]\( h = V - B \)[/tex]


Sagot :

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]
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