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I can't seem to figure out the answer to this problem:

 

11. the height of a rectangular prism is 5 more than three times it's width w. The volume of the prism is \(3w^2-4w^2-15w\). Write a simplified expression for the length of the prism.

 

Please help me as soon as possible!

 

Thank You

Red Glasses laugh

 Apr 24, 2018
 #1
avatar+98005 
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I'm thinking that the volume is supposed to be 3w^3 - 4w^2 - 15

 

Let the width = w

Then the height is 3w + 5

 

And the volume  is   Width * Heiht * Length....so we have

 

3w^3 - 4w^2 - 15w  = w * ( 3w + 5) * L          

 

w (3w^2 - 4w - 15) = w (3w + 5) * L     divide both sides by w

 

3w^2 - 4w - 15  = (3w + 5) * L          factor the left side

 

(3w+ 5) (w - 3) = (3w + 5) * L      divide both sides by (3w + 5)

 

(w - 3)  =  L  =  Length

 

 

cool cool cool

 Apr 24, 2018

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