exercise:69dcde4b38: Difference between revisions

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<ul style{{=}}"list-style-type:lower-alpha"><li></li>
<ul style{{=}}"list-style-type:lower-alpha">
<li>lab{2.2.14a}
<li>A box without a top is to be made by cutting equal squares from
A box without a top is to be made by cutting equal squares from
the corners of a square piece of tin, <math>18</math> inches on a side,
the corners of a square piece of tin, <math>18</math> inches on a side,
and bending up the sides.  How large should the squares be
and bending up the sides.  How large should the squares be
if the volume of the box is to be as large as possible?</li>
if the volume of the box is to be as large as possible?</li>
<li>Generalize \ref{ex2.2.14a} to the largest open-topped box which
<li>Generalize (a) to the largest open-topped box which
can be made from a square piece of tin, <math>s</math> inches on a side.</li>
can be made from a square piece of tin, <math>s</math> inches on a side.</li>
</ul>
</ul>

Latest revision as of 00:44, 23 November 2024

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  • A box without a top is to be made by cutting equal squares from the corners of a square piece of tin, [math]18[/math] inches on a side, and bending up the sides. How large should the squares be if the volume of the box is to be as large as possible?
  • Generalize (a) to the largest open-topped box which can be made from a square piece of tin, [math]s[/math] inches on a side.