<PRE><B>Question 197062</B>
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The height will be &lt;b&gt;&lt;i&gt;x&lt;/i&gt;&lt;/b&gt;,


The width will be &lt;b&gt;10 - 2&lt;i&gt;x&lt;/i&gt;&lt;/b&gt;, and


The length will be &lt;b&gt;15 - 2&lt;i&gt;x&lt;/i&gt;&lt;/b&gt;.


You have to subtract &lt;b&gt;2&lt;i&gt;x&lt;/i&gt;&lt;/b&gt; from each of the rectangle dimensions because you are cutting &lt;b&gt;&lt;i&gt;x&lt;/i&gt;&lt;/b&gt; out of each corner.


So just multiply the three expressions to get your volume as a function of the cutout dimension.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ V(x) = x(10 - 2x)(15 - 2x)]


You can do the multiplication and term-collecting.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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