document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=684225>Question 684225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a solid object varies jointly with the length of the height and inversely with the square root of the width of the object.  If the volume is 30 m^3 when the length = 20 meters, width = 9 meters and the height = 4 meters, find the volume in (m^3) of the solid object when the width is 16 meters and the length is 44 meters and the hight is 8 meters.  \r<BR>\n" );
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document.write( "Here is what I understand.  V = K (l)(h)/square root<BR>\n" );
document.write( "I plugged in 30m^3 = K (20)(4)/Square root of 9<BR>\n" );
document.write( "Then I got 30m^3 = K800 and then I got stuck from there.  I don't know whether to divide 800 on both sides or 30.  I think its 800, so that K = 30^m/800.  After that, the problem seemed like a mess, because the answer is actually 99m^3 and I got 33m^3/20, because I did something totally stupid.  What am I doing wrong?  Thank you in advance for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424109 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=424109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume of a solid object varies jointly with the length of the height and inversely with the square root of the width of the object.  If the volume is 30 m^3 when the length = 20 meters, width = 9 meters and the height = 4 meters, find the volume in (m^3) of the solid object when the width is 16 meters and the length is 44 meters and the hight is 8 meters.  \r<BR>\n" );
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document.write( "Here is what I understand.  V = K (l)(h)/square root<BR>\n" );
document.write( "I plugged in 30m^3 = K (20)(4)/Square root of 9<BR>\n" );
document.write( "Then I got 30m^3 = K800 and then I got stuck from there.  I don't know whether to divide 800 on both sides or 30.  I think its 800, so that K = 30^m/800.  After that, the problem seemed like a mess, because the answer is actually 99m^3 and I got 33m^3/20, because I did something totally stupid.  What am I doing wrong?  Thank you in advance for your help.\r<BR>\n" );
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document.write( "Since volume varies jointly with the height and length, and inversely with the square root of the width, then: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+kLH%2Fsqrt%28W%29 ALIGN=MIDDLE  ALT=\"V+=+kLH%2Fsqrt%28W%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore, with V = 30, L = 20, H = 4, and W = 9, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+kLH%2Fsqrt%28W%29 ALIGN=MIDDLE  ALT=\"V+=+kLH%2Fsqrt%28W%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30+=+k%2820%29%284%29%2Fsqrt%289%29 ALIGN=MIDDLE  ALT=\"30+=+k%2820%29%284%29%2Fsqrt%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30+=+80k%2F3 ALIGN=MIDDLE  ALT=\"30+=+80k%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "80k = 90 ------ Cross-multiplying\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+90%2F80 ALIGN=MIDDLE  ALT=\"k+=+90%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+9%2F8 ALIGN=MIDDLE  ALT=\"k+=+9%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+9%2F8 ALIGN=MIDDLE  ALT=\"k+=+9%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and with W = 16, L = 44, and H = 8, then V (volume) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F8%29%2844%29%288%29%2Fsqrt%2816%29 ALIGN=MIDDLE  ALT=\"%289%2F8%29%2844%29%288%29%2Fsqrt%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=396%2F4 ALIGN=MIDDLE  ALT=\"396%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2899m%5E3%29 ALIGN=MIDDLE  ALT=\"highlight_green%2899m%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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