document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164845>Question 164845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the definition of perfect square and perfect cube </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121511 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=121511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A \"perfect square\" is simply a whole number that is the result of another whole number squared. So for instance, 9 is a perfect square since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2=9 ALIGN=MIDDLE  ALT=\"3%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > where 3 and 9 are whole numbers. Another example is 25 since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2=25 ALIGN=MIDDLE  ALT=\"5%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Note: If you are a visual person, think of a square with sides of 3 units (each side is 3 units). The area of that square will be 9 square units (since area is length*width). This is where the \"square\" portion comes from.\r<BR>\n" );
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document.write( "A \"perfect cube\" is analogous to a perfect square, but this time we're dealing with cubing a whole number. So a \"perfect cube\" is simply a whole number that is the result of another whole number cubed. So 8 is a perfect cube since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3=8 ALIGN=MIDDLE  ALT=\"2%5E3=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and 27 is a perfect cube since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E3=27 ALIGN=MIDDLE  ALT=\"3%5E3=27\"   DISABLED_style= \"max-width:90%; height:auto;\" > (notice these are all whole numbers).\r<BR>\n" );
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document.write( "Note: If you are a visual person, think of a cube with sides of 3 units (each side is 3 units). The volume of that cube will be 27 square units (since volume is length*width*height). This is where the \"cube\" portion comes from. </SPAN>\n" );
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