document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033127>Question 1033127</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Joey has a rectangular box with dimensions 25 inches by 40 inches by 58 inches. He would like to replace it with a box in the shape of a cube, but with the same volume. What should the length of a side of the cube be? Express your answer as a radical expression ONLY in simplest form.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647862 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the volume of the rectangular box is equal to 25 * 40 * 58 = 58000 cubic inches.\r<BR>\n" );
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document.write( "the volume of a cube is equal to s^3.\r<BR>\n" );
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document.write( "s is the length of a side of the cube.\r<BR>\n" );
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document.write( "you get s^3 = 58000.\r<BR>\n" );
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document.write( "take the cube root of both sides of this equation to get s = cube root of 58000.\r<BR>\n" );
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document.write( "since cube root of 58000 can also be written as 58000^(1/3), then you get s = 58000^(1/3) as another way to express that s = cube root of 58000.\r<BR>\n" );
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document.write( "in algebra.com, you would express the cube root of 58000 as root(3,58000).\r<BR>\n" );
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document.write( "using the algebra.com formatting language, this would look like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C58000%29 ALIGN=MIDDLE  ALT=\"root%283%2C58000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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