document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=897300>Question 897300</A>: <I><SPAN STYLE=\"word-break: break-all;\"> formula for finding number of numbers between two consecutive cube numbers. please let me know. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #544068 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=544068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Example, assuming the cubed numbers based on natural numbers,\r<BR>\n" );
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document.write( "6^3=216;<BR>\n" );
document.write( "7^3=343.\r<BR>\n" );
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document.write( "The cube numbers are 216 and 343.\r<BR>\n" );
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document.write( "Another example, How many numbers between 9 and 6? There are 7 and 8, and these are TWO numbers, both between 9 and 6.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-6=3 ALIGN=MIDDLE  ALT=\"9-6=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is one too many; so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-6-1=2 ALIGN=MIDDLE  ALT=\"9-6-1=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the quantity of numbers (whole) between 9 and 6.\r<BR>\n" );
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document.write( "Return to first example, 343-216-1=126 whole numbers between 7^3 and 6^3.<BR>\n" );
document.write( "Try to symbolize this in variables.\r<BR>\n" );
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document.write( "Let n be a whole number. Two consecutive cubes based on n would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E3 ALIGN=MIDDLE  ALT=\"n%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B1%29%5E3 ALIGN=MIDDLE  ALT=\"%28n%2B1%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The quantity of whole numbers between these two cubes is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B1%29%5E3-n%5E3-1 ALIGN=MIDDLE  ALT=\"%28n%2B1%29%5E3-n%5E3-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which you may simplify if desired. </SPAN>\n" );
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