SOLUTION: A box is to be made from a 24 by 32 rectangular piece of aluminum with by cutting a 6x inches square from each corner. Express the volume of the box as a function of x, And find

Question 1058650: A box is to be made from a 24 by 32 rectangular piece of aluminum with by cutting a 6x inches square from each corner. Express the volume of the box as a function of x, And find the domain.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
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A box is to be made from a 24 by 32 rectangular piece of aluminum with by cutting a 6x inches square from each corner.
Express the volume of the box as a function of x, And find the domain.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Volume = (24-12x)*(36-12x).


The domain is 

12x < 24,  and
12x < 36,

which gives

0 <= x < 2.

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