document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=821503>Question 821503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is formed by cutting squares that measure 5 inch on each side from the four corners and then folding up the sides. <BR>\n" );
document.write( "If the volume of the box 65 in ^3 what are the dimensions of the piece of cardboard? <BR>\n" );
document.write( "The Height? <BR>\n" );
document.write( "The width?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494381 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=494381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "v = 65 = Lwh<BR>\n" );
document.write( "h = 5<BR>\n" );
document.write( "65 = 5Lw<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Lw = 13<BR>\n" );
document.write( "L = w + 12<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Lw = 13<BR>\n" );
document.write( "(w + 12)w = 13<BR>\n" );
document.write( "ww + 12w - 13 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=1, b=12, and c=-13<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "1 12 -13<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the two real roots (i.e. the two x-intercepts), of the quadratic are:<BR>\n" );
document.write( "w = 1<BR>\n" );
document.write( "w = -13<BR>\n" );
document.write( "---<BR>\n" );
document.write( "negative width doesn't make sense so use the positive root:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "dimensions of the bottom of the box<BR>\n" );
document.write( "w = 1<BR>\n" );
document.write( "L = w + 12 = 13<BR>\n" );
document.write( "---<BR>\n" );
document.write( "dimensions of the cardboard:<BR>\n" );
document.write( "w= 1 + 10 = 11 inch<BR>\n" );
document.write( "L= 13 + 10 = 23 inch<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );