document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049357>Question 1049357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A block of lead has the shape of a rectangular solid whose dimensions are 1/2 in by 3/4 in by 1 in.  This piece of oead is to be melted and recast into the form of a regular triangular prism each basal edge of which is to be 1/2 in.  What must be the altitude of this prism.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664888 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=664888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A block of lead has the shape of a rectangular solid whose dimensions are 1/2 in by 3/4 in by 1 in. This piece of oead is to be melted and recast into the form of a regular triangular prism each basal edge of which is to be 1/2 in. What must be the altitude of this prism. <BR>\n" );
document.write( "----<BR>\n" );
document.write( "Volume of lead:: (1/2)(3/4)(1) = 3/8 in^3<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Volume of pyramid:: (1/3)LWH<BR>\n" );
document.write( "L = W = 1/2<BR>\n" );
document.write( "Solve for \"H\":<BR>\n" );
document.write( "(3/8) = (1/3)(1/2)^2*H<BR>\n" );
document.write( "3/8 = (1/3)(1/4)H<BR>\n" );
document.write( "3/8 = (1/12)H<BR>\n" );
document.write( "H = 12(3/8) = 9/2 = 4.5 in<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );