Question 245953
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You need to go find a website where hockey rink architects hang out.  Those are the people who can tell you what an "appropriate depth for your design element" might be -- or which width is better (better for what?).


The only thing that I can help you with on this is the formula for the volume of a rectangular solid:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ V\ =\ lwh]


Where *[tex \Large l] is the length, *[tex \Large w] is the width, and *[tex \Large h] is the height (or in this case, the depth).


Since you have a relationship between length and width, you can rewrite this in terms of just the width and the depth:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ V\ =\ (2w^2+2w)h]


You will probably need to make some adjustments to the volume because, if I'm not mistaken, hockey rinks have curved corners, hence the volume will be smaller than an equivalently dimensioned rectangular solid.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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