document.write( "Question 701093: The exact problem as it shows up on my homework is:
\n" ); document.write( "An open box of maximum volume is to be made from a square piece of material 24 centimeters on a side by cutting equal squares from the corners and turning up the sides. What is the maximum volume of the box?
\n" ); document.write( "I am in an algebra 2 class, and I don't recognize any way to solve this problem using what we've learned this semester so I'm completely lost as how to solve it.
\n" ); document.write( "

Algebra.Com's Answer #432214 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
An open box of maximum volume is to be made from a square piece of material 24 centimeters on a side by cutting equal squares from the corners and turning up the sides. What is the maximum volume of the box?
\n" ); document.write( "-----
\n" ); document.write( "Sketch a square on a piece of paper.
\n" ); document.write( "Labe each side \"24\" cm
\n" ); document.write( "------
\n" ); document.write( "Sketch a square at each corner of the 24x24 square.
\n" ); document.write( "Label the sides of the little square \"x\"
\n" ); document.write( "--------
\n" ); document.write( "Imagine (or actually) cutting out the four x by x squares
\n" ); document.write( "----
\n" ); document.write( "Imagine (or actually) folding up the remaining sides of the sheet.
\n" ); document.write( "----
\n" ); document.write( "Find the volume of this paper box.
\n" ); document.write( "---
\n" ); document.write( "Volume = length*width*height
\n" ); document.write( "Volume = (24-2x)(24-2x)x
\n" ); document.write( "----
\n" ); document.write( "Can you determine the maximum volume?
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "===================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );