document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264580>Question 264580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square piece of cardboard is 16 inches on a side. A square piece x inches on a side is cut out from each corner. The flaps are then turned up to form an open boz. Find polynomials that represent the volume and outside surface of the box. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194774 by </B><A HREF=/tutors/aboutme.mpl?userid=JBarnum><B>JBarnum(2146)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JBarnum><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=JBarnum><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=194774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A square piece of cardboard is 16 inches on a side. A square piece x inches on a side is cut out from each corner. The flaps are then turned up to form an open box. Find polynomials that represent the volume and outside surface of the box.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "if you make a visual from a square peice of paper it will help understanding<BR>\n" );
document.write( "on the square piece of paper draw to parallel lines horizontal and 2 vertical to make a \"tic-tac-toe\" looking paper. you should see 9 identical squares.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "16 is the length of 3 squares<BR>\n" );
document.write( " \"A square piece \"x\" inches on a side is cut out from each corner\"<BR>\n" );
document.write( "If u look at the corners and label the sides as \"x\" you will notice that 3x=16 so x=16/3 or 5.333333333333333333333333333333<BR>\n" );
document.write( ".<BR>\n" );
document.write( "if you look at the four corners of the \"tic-tac-toe\" looking paper, there are 4 identical squares, cut them out.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "now your paper should look like a plus(+) made up of 5 identical squares.<BR>\n" );
document.write( "If you were to fold them up to the middle to make a square box, you will notice there is no top.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "to get volume use the formula V=LWH which means volume=length times width times hieght. if you look at the box you will notice that the length width and hieght are all = to \"x\" so V=(x)(x)(x) or V=x^3 <BR>\n" );
document.write( "So replace \"x\" with 16/3 or 5.3333. I will show in both forms:<BR>\n" );
document.write( "V=(16/3)(16/3)(16/3) 16x16x16=4096 3x3x3=27 4096/27=V<BR>\n" );
document.write( "V=(5.3333)(5.3333)(5.3333)= 151.700859277<BR>\n" );
document.write( ".<BR>\n" );
document.write( "to find the outside surface area(A) of the box, you know there are 5 squares that make up the box, each square has the side \"x\" or 16/3<BR>\n" );
document.write( "so we would find the area of 1 square and multiply by 5 so 5x^2=A<BR>\n" );
document.write( "16x16=256 3x3=9 so (256/9)=x^2<BR>\n" );
document.write( "5(256/9)=A<BR>\n" );
document.write( "1280/9=A\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );