document.write( "Question 1087412: cookies are packaged in boxes whose width is 2 cm less than the length, and the height is 5 cm more than double the length. determine the dimensions of the box that will give a volume of 33 cm^3 \n" ); document.write( "

Algebra.Com's Answer #701692 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+w+\"$ = the width in cm
\n" ); document.write( " $\"+w+%2B+2+\"$ = the length in cm
\n" ); document.write( " $\"+2%2A%28+w+%2B+2+%29+%2B+5+\"$ = the height in cm
\n" ); document.write( "---------------------------------------
\n" ); document.write( " $\"+V+=+w%2A%28+w+%2B+2+%29%2A%28+2%2A%28+w+%2B+2+%29+%2B+5+%29+\"$
\n" ); document.write( " $\"+V+=+%28+w%5E2+%2B+2w+%29%2A%28+2w+%2B+4+%2B+5+%29+\"$
\n" ); document.write( " $\"+V+=+%28+w%5E2+%2B+2w+%29%2A%28+2w+%2B+9+%29+\"$
\n" ); document.write( " $\"+33+=+%28+w%5E2+%2B+2w+%29%2A%28+2w+%2B+9+%29+\"$
\n" ); document.write( " $\"+2w%5E3+%2B+4w%5E2+%2B+9w%5E2+%2B+18w+=+33+\"$
\n" ); document.write( " $\"+2w%5E3+%2B+13w%5E2+%2B+18w+-+33+=+0+\"$
\n" ); document.write( "---------------------------------------
\n" ); document.write( "Let $\"+w+=+1+\"$
\n" ); document.write( " $\"+2%2A1%5E3+%2B+13%2A1%5E2+%2B+18%2A1+-+33+=+0+\"$
\n" ); document.write( " $\"+2+%2B+13+%2B+18+-+33+=+0+\"$
\n" ); document.write( " $\"+33+-+33+=+0+\"$
\n" ); document.write( " $\"+w+%2B+2+=+3+\"$
\n" ); document.write( " $\"+2%2A%28+w+%2B+2+%29+%2B+5+=+2%2A3+%2B+5+\"$
\n" ); document.write( " $\"+2%2A%28+w+%2B+2+%29+%2B+5+=+11+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "The dimensions are:
\n" ); document.write( "1 x 3 x 11
\n" ); document.write( "--------------------
\n" ); document.write( "I just guessed at $\"+w=1+\"$
\n" ); document.write( "There may be another way to do this, but
\n" ); document.write( "I dont know what that would be
\n" ); document.write( "You can get another opinion\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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