document.write( "Question 165128This question is from textbook pre algebra
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Algebra.Com's Answer #121748 by Edwin McCravy(20056)\"\" \"About 
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Use six unit multipliers to convert 6 cubic yards to cubic inches
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document.write( "     Start by writing \"6_cubic_yards\" as \"6yd%5E3\" and\r\n" );
document.write( "     then as \"6%2Ayd%2Ayd%2Ayd\", and then put it over \"1\", \r\n" );
document.write( "     and we start with this:\r\n" );
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document.write( "\"%286%2Ayd%2Ayd%2Ayd%29%2F1\"\r\n" );
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document.write( "     We treat a unit just as we would treat a number or\r\n" );
document.write( "     letter in algebra which is multiplied by a number. So we \r\n" );
document.write( "     want to cancel away the three \"yd\" factors and bring \r\n" );
document.write( "     in \"ft\".  We know that \"3ft=1yd\".  So there are\r\n" );
document.write( "     two possible unit multipliers which we can make with\r\n" );
document.write( "     that.  We can make the unit multiplier \"%283ft%29%2F%281yd%29\"\r\n" );
document.write( "     or the unit multiplier \"%281yd%29%2F%283ft%29\".  The question\r\n" );
document.write( "     is which one do we make.  Since we have \"yd\" in the\r\n" );
document.write( "     numerator, we must use the unit multiplier which has\r\n" );
document.write( "     \"yd\" in the denominator so the \"yd\"'s will cancel.\r\n" );
document.write( "     So we multiply by \"%283ft%29%2F%281yd%29\" three times, one for\r\n" );
document.write( "     each \"yd\" factor.  \r\n" );
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document.write( "     and then the \"yd\"'s cancel, like this:\r\n" );
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document.write( "     Now we want to cancel away the three \"ft\" factors\r\n" );
document.write( "     and bring in \"in\".  We know that \"12in=1ft\". \r\n" );
document.write( "     So there are two possible unit multipliers which we can \r\n" );
document.write( "     make with that.  We can make the unit multiplier \"%281ft%29%2F%2812in%29\"\r\n" );
document.write( "     or the unit multiplier \"%2812in%29%2F%281ft%29\".  The question\r\n" );
document.write( "     is which one do we make.  Since we have \"ft\" in the\r\n" );
document.write( "     numerator, we must use the unit multiplier which has\r\n" );
document.write( "     \"ft\" in the denominator so the \"ft\"'s will cancel.\r\n" );
document.write( "     So we multiply by \"%2812in%29%2F%281ft%29\" three times, one for\r\n" );
document.write( "     each \"ft\" factor.  \r\n" );
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document.write( "     Then the \"ft\"'s cancel:\r\n" );
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document.write( "     So all we have left is:\r\n" );
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document.write( "\"6%2A3%2A3%2A3%2A12%2A12%2A12%2Ain%2Ain%2Ain+\"\r\n" );
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document.write( "     Multiply all that out with a calculator,\r\n" );
document.write( "     and replace the \"in%2Ain%2Ain\" by \"in%5E3\"\r\n" );
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document.write( "\"279936%2Ain%5E3\"\r\n" );
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document.write( "     or 279936 cubic inches.\r\n" );
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document.write( "     Edwin
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