document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394922>Question 394922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cuboidal hole of cross-section area 10cm square is cut out of a larger cube of side x cm.<BR>\n" );
document.write( "Show that the volume of the remaining solid can be expressed as v=x square       (x square-10)<BR>\n" );
document.write( "Given that the volume this solid is 800 cm square, find x, giving your answer to 2 dp. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280271 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A cuboidal hole of cross-section area 10cm square is cut out of a larger cube of side x cm.<BR>\n" );
document.write( "Show that the volume of the remaining solid can be expressed as v=x square       (x square-10)<BR>\n" );
document.write( "Given that the volume this solid is 800 cm square, find x, giving your answer to 2 dp.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "volume of cuboidal hole = 10x cm^3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "volume of cuboid = x^3<BR>\n" );
document.write( "difference = x^3-10x<BR>\n" );
document.write( "difference = x(x^2-10)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Volume of the cuboidal portion is 800 cm^3<BR>\n" );
document.write( "...<BR>\n" );
document.write( "10x= 800x= 80 the height. so also the lengthe of the edge of the cube.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );