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If V=(1)/(3)Bh, what is h expressed in t...

If `V=(1)/(3)Bh`, what is h expressed in terms of B and V?

A

`(1)/(3)BV`

B

`(V)/(3B)`

C

`(3V)/(B)`

D

`3VB`

Text Solution

AI Generated Solution

The correct Answer is:
To express \( h \) in terms of \( B \) and \( V \) from the equation \( V = \frac{1}{3}Bh \), we can follow these steps: ### Step 1: Start with the given equation The equation given is: \[ V = \frac{1}{3}Bh \] ### Step 2: Eliminate the fraction To eliminate the fraction, multiply both sides of the equation by 3: \[ 3V = Bh \] ### Step 3: Isolate \( h \) Now, to isolate \( h \), divide both sides by \( B \): \[ h = \frac{3V}{B} \] ### Final Expression Thus, \( h \) expressed in terms of \( B \) and \( V \) is: \[ h = \frac{3V}{B} \]
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