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this is very confusing ive been trying to do this but keep getting the wrong answer

cerenetie  Feb 22, 2018
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 #1
avatar+86649 
+2

1.  Once we fold the sides up....the dimensions of the  base will be

 

(8 - 2x) (10 - 2x)

 

And the height will be x

 

So....the volume, V, is   area of the base * height  =

 

a)  V = (8 - 2x) (10 - 2x) x

 

b)  Here's a graph   of the function :

 

https://www.desmos.com/calculator/ubq8tavuol

 

The value of x that gives the max volume is when we look at the top of the curve between x  = 0  and x = 4....this value is :   x  ≈ 1.5  in

 

 

 

cool cool cool

CPhill  Feb 22, 2018

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