document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181820>Question 1181820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of the rectangular block in the figure is calculated from the following measurements of its dimensions:\r<BR>\n" );
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document.write( "𝑎=10.00±0.10 cm, 𝑏=5.00±0.06 cm and 𝑐=4.00±0.04 cm.\r<BR>\n" );
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document.write( "Calculate the error in the value of the volume of the block assuming:<BR>\n" );
document.write( "a) the errors are independent<BR>\n" );
document.write( "b) the errors are correlated such that they all push the estimate in the same direction.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813913 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+abc ALIGN=MIDDLE  ALT=\"V+=+abc\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then  \r<BR>\n" );
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document.write( "a)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV+=+V%5Ba%5D%2Ada+%2B+V%5Bb%5D%2Adb+%2B+V%5Bc%5D%2Adc+=+%0D%0A%0D%0Abc%2Ada+%2B+ac%2Adb+%2B+ab%2Adc ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= 5*4*(±0.10)  + 10*4*(±0.06) + 10*5*(±0.04)\r<BR>\n" );
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document.write( "= ±2 ±2.4 ±2 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E3 ALIGN=MIDDLE  ALT=\"cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ± 6.4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E3 ALIGN=MIDDLE  ALT=\"cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b) Either  6.4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E3 ALIGN=MIDDLE  ALT=\"cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > when all variables are increasing, or -6.4<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E3 ALIGN=MIDDLE  ALT=\"cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, when all variables are decreasing. </SPAN>\n" );
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