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Function Application Problem

Last updated almost 5 years ago

3 questions

You are creating an open box from a square piece of cardboard. The cardboard square has a perimeter of 36 cm. You cut out smaller squares from each corner, of a width of x cm each, so you can fold up the sides to form the box.

1

Write a function for the volume of the box in terms of x.
Type your final answer in the box, but show any work/explanation in the space provided.

1

What is the perimeter of each square cutout if the volume of the box is at its maximum?
Type your final answer in the box, but show any work/explanation in the space provided.

1

Which is an appropriate domain for this situation, and why?
Make your selection, and then use the "Show Your Work" space to type an explanation of why.