document.write( "Question 878394: I have the problem
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document.write( "a rectangular piece of paper is three times as long as it is wide. From each of its corners the square of 3 cm is cut out. The flaps at each corner are then turned up to form an open box. The volume of the box is 189 cm³. Find the original dimensions of the piece of the paper.
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document.write( "A) 2cm x 21 cm
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document.write( "B) 4.6 cm x 13.8 cm
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document.write( "C) 9 cm x 27 cm
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document.write( "D) 25.8 cm x 77.4 cm \r
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document.write( "I'm not sure I am correct so far but this is what u have done
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document.write( "L x w x h = V
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document.write( "(3x)(x)(3) =189 cm³
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document.write( "9x^2 = 89 cm³\r
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document.write( "I don't know what to do next or if that's right so far. Please help, thanks so much! \n" );
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Algebra.Com's Answer #529924 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The sheet is x by 3x \n" ); document.write( "--- \n" ); document.write( "After it's cut, it's x-6 by 3x-6 \n" ); document.write( "--- \n" ); document.write( "Vol = 3*(x-6)*(3x-6) = 189 \n" ); document.write( "(x-6)*(x-2) = 21 (make it easier) \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x = 9 (Ignore the -1 solution) \n" ); document.write( "--> 9 by 27 \n" ); document.write( " |