SOLUTION: Suppose you have 250 cubic inches of clay with which to make a sculpture shaped as a rectangular prism. You want the height and width of each to be 5 inches less than the length.No

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Question 1038816: Suppose you have 250 cubic inches of clay with which to make a sculpture shaped as a rectangular prism. You want the height and width of each to be 5 inches less than the length.Note:Part A: Write a polynomial to model the situation.Part B: Using the polynomial from part A, solve to find the dimensions of the prism? Show your work.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Let represent the length of the prism. Then must represent the height and width. So the volume as a function of is:





So if the volume is to be 250 cubic inches:









Since has no real zeros, the only real solution is

Hence, the dimensions of the prism are 10 by 5 by 5.

John

My calculator said it, I believe it, that settles it