SOLUTION: Tracy is trying to find the perfect shoe box for her brand new pair of high heeled shoes. She found a square-based shoe box whose height is 4 cm more than the side length of its s

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Question 1005809: Tracy is trying to find the perfect shoe box for her brand new pair of high heeled shoes. She found a square-based shoe box whose height is 4 cm more than the side length of its square base. If the volume of the box is 225 cm3, what are its dimensions?
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
h height
x each base dimension
volume is .
Given:
volume is 225.





Several rational roots to try, such as plus&minus of 1,3,5,15,25,9. Be sure your first dividend for your synthetic divisions are . The rest of doing this process is now back to you to continue.

You will find a root of 5 corresponding to (x-5) factor, and the resulting as quadratic factor. The quadratic factor here has only complex roots with imaginary component.

for a side of the square base.
------------and .

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