Design/Optimization HELP PLEASE!!

snowlover51

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Joined
Nov 12, 2005
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Can anyone help me on the following????????
Don't just give answer, please, but give suggestions/hints!! Thanks so much.



A square measures 6sqrt2 in by 6sqrt2 in, and diagonals measure 12 in. Construct a pyramid by removing four equal shaded triangles in square. The pyramid base is also square and can be measured with z. in by z in.

What is the volume as function of z?
What is height as f(z)?
Max possible volume of pyramid and value of x which it occurs?
 
Sorry, you got lost. If you are still interested, and I understand the question:
2z=12 'cause each side of the pyramid base is 1/2 the diagonal.
 
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