document.write( "Question 675308: use six unit multipliers to convert six cubic yards to cubic inches \n" ); document.write( "
Algebra.Com's Answer #419770 by Edwin McCravy(20060)\"\" \"About 
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document.write( "Write 6 cubic yards as 6 yd³ and then as 6·yd·yd·yd and then as \"%286%2Ayd%2Ayd%2Ayd%29%2F1\"\r\n" );
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document.write( "We could get by with just 3 unit multipliers by using 1yd = 36in,\r\n" );
document.write( "but you are instructed to use 6 unit mutipliers, so we must not\r\n" );
document.write( "use that, but instead use 1yd = 3ft and then 1ft = 12in\r\n" );
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document.write( "Since \"%286%2Ayd%2Ayd%2Ayd%29%2F1\" has \"yd\"'s on top we must use a unit \r\n" );
document.write( "multiplier that has \"yd\" on the bottom to cancel with the \"yd\"\r\n" );
document.write( "on top, so we use the unit multiplier \"%283%2Aft%29%2F%281%2Ayd%29\", and\r\n" );
document.write( "since there are 3 \"yd\"'s to cancel out we use it three times.\r\n" );
document.write( "That's 3 unit multipliers:\r\n" );
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document.write( "\"%286%2Ayd%2Ayd%2Ayd%29%2F1\"·\"%283%2Aft%29%2F%281%2Ayd%29\"·\"%283%2Aft%29%2F%281%2Ayd%29\"·\"%283%2Aft%29%2F%281%2Ayd%29\"\r\n" );
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document.write( "Now you see those three \"yd\"'s on the bottom cancel those three\r\n" );
document.write( "\"yd\"'s on the top and we have:\r\n" );
document.write( "\"%286%2Across%28yd%29%2Across%28yd%29%2Across%28yd%29%29%2F1\"·\"%283%2Aft%29%2F%281%2Across%28yd%29%29\"·\"%283%2Aft%29%2F%281%2Across%28yd%29%29\"·\"%283%2Aft%29%2F%281%2Across%28yd%29%29\"\r\n" );
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document.write( "Now, as before, since that has \"ft\"'s on top we must use a unit \r\n" );
document.write( "multiplier that has \"ft\" on the bottom to cancel with the \"ft\"\r\n" );
document.write( "on top, so we use the unit multiplier \"%2812%2Ain%29%2F%281%2Aft%29\", and\r\n" );
document.write( "since there are 3 \"ft\"'s to cancel out we use it three times.\r\n" );
document.write( "That's 3 more unit multipliers:\r\n" );
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document.write( "\"%286%2Across%28yd%29%2Across%28yd%29%2Across%28yd%29%29%2F1\"·\"%283%2Aft%29%2F%281%2Across%28yd%29%29\"·\"%283%2Aft%29%2F%281%2Across%28yd%29%29\"·\"%283%2Aft%29%2F%281cross%28yd%29%29\"·\"%2812%2Ain%29%2F%281%2Aft%29\"·\"%2812%2Ain%29%2F%281%2Aft%29\"·\"%2812%2Ain%29%2F%281%2Aft%29\".\r\n" );
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document.write( "Then we cancel out the \"ft\"'s:\r\n" );
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document.write( "\"%286%2Across%28yd%29%2Across%28yd%29%2Across%28yd%29%29%2F1\"·\"%283%2Across%28ft%29%29%2F%281%2Across%28yd%29%29\"·\"%283%2Across%28ft%29%29%2F%281%2Across%28yd%29%29\"·\"%283%2Across%28ft%29%29%2F%281%2Across%28yd%29%29\"·\"%2812%2Ain%29%2F%281%2Across%28ft%29%29\"·\"%2812%2Ain%29%2F%281%2Across%28ft%29%29\"·\"%2812%2Ain%29%2F%281%2Across%28ft%29%29\".\r\n" );
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document.write( "Now all that's left is:\r\n" );
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document.write( "\"%286%2A3%2A3%2A3%2A12%2Ain%2A12%2Ain%2A12%2Ain%29%2F%281%2A1%2A1%2A1%2A1%2A1%29\" = \"279936%2Ain%5E3%29%2F1\" = 279,936 in³.\r\n" );
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document.write( "Note that in³ means the same thing as \"cubic inches\".\r\n" );
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document.write( "Edwin
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