document.write( "Question 1056877: A rectangular sheet of brass is twice as long as it is wide. Squares, 3 cm times 3 cm, are cut from each corner , and the ends are turned up to form an open box having a volume of 1248cm^3. What are the dimensions of the original sheet of brass? \n" ); document.write( "
Algebra.Com's Answer #671929 by josmiceli(19441)\"\" \"About 
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Let \"+L+\" = the length in cm of the original sheet of brass
\n" ); document.write( "Let \"+W+\" = the width in cm of the original sheet of brass
\n" ); document.write( "-----------------------------------------------------
\n" ); document.write( "After the squares are cut out from the corners,
\n" ); document.write( "The new length = \"+L+-+2%2A3+\" cm
\n" ); document.write( "The new width = \"+W+-+2%2A3+\" cm
\n" ); document.write( "------------------------------------
\n" ); document.write( "The volume, after the sides are turned up to make a box, is
\n" ); document.write( "\"+V+=+%28+L+-+6+%29%2A%28+W+-+6+%29%2A3+\" ( note the height will be \"+3+\" cm )
\n" ); document.write( "given:
\n" ); document.write( "\"+L+=+2W+\"
\n" ); document.write( "\"+V+=+1248+\" cm^3
\n" ); document.write( "---------------------------------
\n" ); document.write( "\"+1248+=+%28+2W+-+6+%29%2A%28+W+-+6+%29%2A3+\"
\n" ); document.write( "\"+1248+=+%28+2W%5E2+-+6W+-+12W+%2B+36+%29%2A3+\"
\n" ); document.write( "\"+2w%5E2+-+18W+%2B+36+=+416+\"
\n" ); document.write( "\"+2W%5E2+-+18W+-+380+=+0+\"
\n" ); document.write( "\"+W%5E2+-+9W+-+190+=+0+\"
\n" ); document.write( "\"+%28+W+-+19+%29%2A%28+W+%2B+10+%29+\" ( just by looking at it )
\n" ); document.write( "\"+W+=+19+\" cm ( Can't use the negative value )
\n" ); document.write( "and
\n" ); document.write( "\"+L+=+2W+\"
\n" ); document.write( "\"+L+=+38+\" cm
\n" ); document.write( "---------------
\n" ); document.write( "The dimensions of the original sheet of brass are 19 x 38
\n" ); document.write( "---------------
\n" ); document.write( "check answer:
\n" ); document.write( "\"+V+=+%28+L+-+6+%29%2A%28+W+-+6+%29%2A3+\"
\n" ); document.write( "\"+V+=+%28+38+-+6+%29%2A%28+19+-+6+%29%2A3+\"
\n" ); document.write( "\"+V+=+32%2A13%2A3+\"
\n" ); document.write( "\"+V+=+1248+\" cm3
\n" ); document.write( "OK
\n" ); document.write( "
\n" );