Problem: A sheet metal worker is planning to make an open-top box by cutting equal squares (x-in. by x-in.) from the corners of a 10-in. by 14-in. piece of copper. A second box is to be made in the same manner from an 8-in. by 10-in. piece of aluminum, but its height is to be one-half that of the first box.
1) Find the polynomial function for the volume of each box.
2) Find the value of x for which the copper box is 72 cubic in. larger than the aluminum box.
3) Write the difference between the two volumes (d) as a function of x.
4) Find d for x=1.5
5) For what value of x is the difference between the two volumes the largest?
1) Find the polynomial function for the volume of each box.
2) Find the value of x for which the copper box is 72 cubic in. larger than the aluminum box.
3) Write the difference between the two volumes (d) as a function of x.
4) Find d for x=1.5
5) For what value of x is the difference between the two volumes the largest?
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