Use six unit multipliers to convert 6 cubic yards to cubic inches
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document.write( " Start by writing
as
and\r\n" );
document.write( " then as
, and then put it over
, \r\n" );
document.write( " and we start with this:\r\n" );
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document.write( "
\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
factors and bring \r\n" );
document.write( " in
. We know that
. 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
\r\n" );
document.write( " or the unit multiplier
. The question\r\n" );
document.write( " is which one do we make. Since we have
in the\r\n" );
document.write( " numerator, we must use the unit multiplier which has\r\n" );
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in the denominator so the
's will cancel.\r\n" );
document.write( " So we multiply by
three times, one for\r\n" );
document.write( " each
factor. \r\n" );
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document.write( "
\r\n" );
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document.write( " and then the
's cancel, like this:\r\n" );
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document.write( "
\r\n" );
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document.write( " Now we want to cancel away the three
factors\r\n" );
document.write( " and bring in
. We know that
. \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
\r\n" );
document.write( " or the unit multiplier
. The question\r\n" );
document.write( " is which one do we make. Since we have
in the\r\n" );
document.write( " numerator, we must use the unit multiplier which has\r\n" );
document.write( "
in the denominator so the
's will cancel.\r\n" );
document.write( " So we multiply by
three times, one for\r\n" );
document.write( " each
factor. \r\n" );
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\r\n" );
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document.write( " Then the
's cancel:\r\n" );
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document.write( "
\r\n" );
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document.write( " So all we have left is:\r\n" );
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document.write( " Multiply all that out with a calculator,\r\n" );
document.write( " and replace the
by
\r\n" );
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\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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