document.write( "Question 34407: A rectangular piece of tin is twice as long as it is wide. A 2 inch square is cut out of each corner, and the sides are turned up to make a box with an open top. The volume of the box is 480 in^3. Find the original dimensions of the piece of tin.
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document.write( "Length:
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document.write( "Width: \n" );
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Algebra.Com's Answer #20665 by mukhopadhyay(490)![]() ![]() ![]() You can put this solution on YOUR website! Width = x+4 inch \n" ); document.write( "Length = 2x+8 inch \n" ); document.write( "Height = 2 inch \n" ); document.write( "Volume = (x)(2x+4)(2) = 4x(x+2) = 480 \n" ); document.write( "=> x(x+2) = 120 \n" ); document.write( "=> x^2+2x-120 = 0 \n" ); document.write( "=> (x+12)(x-10) = 0 \n" ); document.write( "=> x=10 because it cannot be negative; \n" ); document.write( "Original dimension is (28 inch)X(14 inch)X(2 inch) \n" ); document.write( " |