SOLUTION: From a 24-inch by 24-inch piece Of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of

Question 260750: From a 24-inch by 24-inch piece Of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of an inch, that will yield the maximum volume.
I know that volume is a product of width x length x height, but I'm not sure how to express this as a function of x. Can someone please explain this to me?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
The new length is: 24-2x
The new width is: 24-2x
the new height is: x
---
Volume = (24-2x)(24-2x)(x)

The maximum appears to be at
4, 1024
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