document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57459>Question 57459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have 100 square meters of material. Which will hold more volume, a sphere or a cube made from that much material? How much more?  Thank you Nick. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39213 by </B><A HREF=/tutors/aboutme.mpl?userid=rcmcc><B>rcmcc(152)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rcmcc><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=rcmcc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=39213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to solve this we must make 2 simple equations,\r<BR>\n" );
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document.write( "to calculate the volume of a cube you multiply the length width and height, however because they are all the same length it is X^3<BR>\n" );
document.write( "the area of a cube is lxWx6sides, so X^2*6=100sqm.<BR>\n" );
document.write( "first we must calculate the length of the side (x) by dividing 100/6 and square routing by 2.<BR>\n" );
document.write( "so.<BR>\n" );
document.write( "x^2=100/6<BR>\n" );
document.write( "x^2=16.6666<BR>\n" );
document.write( "x=16.6666^(1/2)<BR>\n" );
document.write( "x=4.082482904m<BR>\n" );
document.write( "do not round this number as we must use its value to calculate the volume of the cube.<BR>\n" );
document.write( "the volume is 4.082482904^3<BR>\n" );
document.write( "the volume of the cube is 68.0413....m cubed<BR>\n" );
document.write( "so the volume is 68m cubed.\r<BR>\n" );
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document.write( "you do the same process for a sphere, the area equation is 4pi r^2 and the volume is (4/3)pi r^3\r<BR>\n" );
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document.write( "we are trying to isolate r\r<BR>\n" );
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document.write( "so 100=4(3.14...)r^2<BR>\n" );
document.write( "100/4=3.14...r^2<BR>\n" );
document.write( "25/3.14...=r^2<BR>\n" );
document.write( "7.957747155=r^2<BR>\n" );
document.write( "7.957747155^(1/2)=r<BR>\n" );
document.write( "r=2.820947918m.\r<BR>\n" );
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document.write( "now you can calculate the volume of the sphere,\r<BR>\n" );
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document.write( "(4/3)pi(2.820947918)^3<BR>\n" );
document.write( "volume of the sphere is 94.03m cubed\r<BR>\n" );
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document.write( "so the sphere holds more volume than the square. </SPAN>\n" );
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