document.write( "Question 1114845: Small squares with sides 4 cm were cut from each of the corners of a square piece of cardboard. Then it was folded into an open-top box. Find the original dimensions of the square piece of cardboard if the volume of this box is 144 cm^3. \r
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document.write( "Please help. \n" );
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Algebra.Com's Answer #729757 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Small squares with sides 4 cm were cut from each of the corners of a square piece of cardboard. Then it was folded into an open-top box. Find the original dimensions of the square piece of cardboard if the volume of this box is 144 cm^3. \n" ); document.write( "---------------- \n" ); document.write( "Area of original square:: x^2 \n" ); document.write( "---- \n" ); document.write( "Area of base of box:: (x-8)^2 \n" ); document.write( "height of box:: 4 cm \n" ); document.write( "-------- \n" ); document.write( "Equation: \n" ); document.write( "4(x-8)^2 = 144 cm^3 \n" ); document.write( "----- \n" ); document.write( "(x-8)^2 = 26 \n" ); document.write( "x-8 = sqrt(26) \n" ); document.write( "x = 8+sqrt(26) \n" ); document.write( "----- \n" ); document.write( "Answer:: original dimensions are 8+sqrt(26) squared \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |