Respuesta :

Answer:

[tex]h = \frac{3V}{b}[/tex]

Step-by-step explanation:

Given the formula, [tex]V = \frac{1}{3}bh[/tex]:

Start with isolating b from the right-hand side of the equation by using the multiplicative inverse of b, which is [tex]\frac{1}{b}[/tex].  Multiply both sides of the equation by [tex](\frac{1}{b})[/tex] :

[tex]V (\frac{1}{b}) = \frac{1}{3}bh (\frac{1}{b})[/tex]

[tex]\frac{V}{b} = \frac{1}{3}h[/tex]

Next, isolate h by using the multiplicative inverse of [tex]\frac{1}{3}[/tex], which is [tex]\frac{3}{1}[/tex].  Multiply both sides of the equation by  [tex](\frac{3}{1})[/tex] :

[tex]\frac{V}{b} (\frac{3}{1}) = (\frac{3}{1}) \frac{1}{3}h[/tex]

[tex]h = \frac{3V}{b}[/tex]

Hope my explanation helps :)

Answer:

Step-by-step explanation:

To solve this equation for h, multiply both sides by 3.  We get:

3V = bh.  

Dividing this result by b results in

       

          3V

h =  ----------

           b

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