document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=896848>Question 896848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sphere has a radius of 24 cm. A rectangular prism has sides of (a), (a/2), (a/4).\r<BR>\n" );
document.write( "\n" );
document.write( "a. Determine (a) of a prism that has the same volume as the sphere.\r<BR>\n" );
document.write( "\n" );
document.write( "b. Determine (a) of a prism that has the same surface area as the sphere.\r<BR>\n" );
document.write( "\n" );
document.write( "I found the value of the sphere and tried to find the value of the prism, to subtract the prism from the sphere, and then determine the diameter of the prism to find (a). However, I couldn't go only having the radius and volume of the sphere.\r<BR>\n" );
document.write( "\n" );
document.write( "Please I need some help. Thank you very much in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543813 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=543813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question (a):\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "volume of sphere, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=%284%2F3%29pi%2Ar%5E3 ALIGN=MIDDLE  ALT=\"v=%284%2F3%29pi%2Ar%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "volume of rectangular prism, in your case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2A%28a%2F2%29%2A%28a%2F4%29=%281%2F8%29a%5E3 ALIGN=MIDDLE  ALT=\"a%2A%28a%2F2%29%2A%28a%2F4%29=%281%2F8%29a%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You are given r=24 for the sphere,and that you want to find a for the prism being also this same volume.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29a%5E3=%284%2F3%29pi%2824%29%5E3 ALIGN=MIDDLE  ALT=\"%281%2F8%29a%5E3=%284%2F3%29pi%2824%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for a.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3=8%284%2F3%29pi%2824%29%5E3 ALIGN=MIDDLE  ALT=\"a%5E3=8%284%2F3%29pi%2824%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3=2%5E5%281%2F3%29pi%2824%29%5E3 ALIGN=MIDDLE  ALT=\"a%5E3=2%5E5%281%2F3%29pi%2824%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3=2%5E8%281%2F3%29pi ALIGN=MIDDLE  ALT=\"a%5E3=2%5E8%281%2F3%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4root%283%2C4%2F3%29root%283%2Cpi%29 ALIGN=MIDDLE  ALT=\"a=4root%283%2C4%2F3%29root%283%2Cpi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=4root%283%2C4pi%2F3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28a=4root%283%2C4pi%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Try to do question (b) yourself.  Make the proper expression for the surface area of your prism; find the formula for surface area of a sphere in your book or other good reference material. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );