document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165522>Question 165522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please tell me how to do this problem (step-x-step). I just don't get these and I really want to understand what I'm doing. The instructor also gave a way to use the TI-83 for solving but I couldn't follow him.\r<BR>\n" );
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document.write( "The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 126 cubic inches, find the dimensions of the box.\r<BR>\n" );
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document.write( "Thanks for taking the time to help me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122004 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> volume = length times width times height.<BR>\n" );
document.write( "let V = volume<BR>\n" );
document.write( "let L = length<BR>\n" );
document.write( "let W = width<BR>\n" );
document.write( "let H = height<BR>\n" );
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document.write( "V = L * W * H (equation 1)<BR>\n" );
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document.write( "The length of a rectangular box is 1 inch more than twice the height of the box.<BR>\n" );
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document.write( "L = 2 * H + 1 (equation 2)<BR>\n" );
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document.write( "the width is 3 inches more than the height.<BR>\n" );
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document.write( "W = H + 3 (equation 3)<BR>\n" );
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document.write( "the volume of the box is 126 cubic inches.<BR>\n" );
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document.write( "V = 126 cubic inches.<BR>\n" );
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document.write( "you start with equation 1<BR>\n" );
document.write( "V = L * W * H (equation 1)<BR>\n" );
document.write( "you use equation 2 and equation 3 to substitute for W and L.<BR>\n" );
document.write( "L = 2 * H + 1 (equation 2)<BR>\n" );
document.write( "W = H + 3 (equation 3)<BR>\n" );
document.write( "equation 1 becomes:<BR>\n" );
document.write( "V = (2 * H + 1) * (H + 3) * H<BR>\n" );
document.write( "126 = (2*H+1)*(H+3)*H<BR>\n" );
document.write( "this becomes<BR>\n" );
document.write( "2h^3 + 7h^2 + 3h - 126 = 0<BR>\n" );
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document.write( "i couldn't solve it so i went to an online calculator and asked it to do the dirty work for me.<BR>\n" );
document.write( "first calculator i went to couldn't handle it, but the second calculator i went to did.<BR>\n" );
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document.write( "the real solution (there were others but they were complex (real + imaginary)) was h = 3.<BR>\n" );
document.write( "i plugged that into the equation and it proved to be good.<BR>\n" );
document.write( "i used H = 3 and went back to equations 2 and 3 to get the values for L and W.<BR>\n" );
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document.write( "H = 3<BR>\n" );
document.write( "L = 2 * H + 1 (equation 2)<BR>\n" );
document.write( "W = H + 3 (equation 3)<BR>\n" );
document.write( "from equation 2:<BR>\n" );
document.write( "L = 7<BR>\n" );
document.write( "from equation 3:<BR>\n" );
document.write( "W = 6<BR>\n" );
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document.write( "dimension are:<BR>\n" );
document.write( "L = 7<BR>\n" );
document.write( "W = 6<BR>\n" );
document.write( "H = 3<BR>\n" );
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document.write( "V = 126<BR>\n" );
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document.write( "V = L*W*H<BR>\n" );
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document.write( "L*W*H = 126<BR>\n" );
document.write( "7*6*3 = 126<BR>\n" );
document.write( "126=126<BR>\n" );
document.write( "answer is good.<BR>\n" );
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document.write( "sorry i can't help you with the TI-83.<BR>\n" );
document.write( "if you want to us an online calculator, this is the one that solved the equation for me.<BR>\n" );
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document.write( "http://www.ifigure.com/math/algebra/algebra.htm<BR>\n" );
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document.write( "i clicked on \"equations\" in the solving equations section.<BR>\n" );
document.write( "then i clicked on \"go to the solve page\" in the solve section.<BR>\n" );
document.write( "then i entered my equation and i told it the letter i wanted it to solve for (h in my case), and it gave me the solutions.<BR>\n" );
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