document.write( "Question 733250: A metal cube of side l (this is the letter L lower case not no.1) is heated and each side increases by 1%. To the nearest percent find the increase in surface area & volume.
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document.write( "Please show workings down page if you can. It makes more sense to me. Thank you. \n" );
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Algebra.Com's Answer #448316 by sachi(548)![]() ![]() You can put this solution on YOUR website! A metal cube of side l is heated and each side increases by 1% \n" ); document.write( "so the original side= l & after heating side=1.01l \n" ); document.write( "so the original surface area=6l^2 & after heating surface area=6x(1.01)^2xl^2 \n" ); document.write( "increase in surface area=6x(1.01)^2xl^2-6l^2=6l^2x(1.0201-1)=0.0201*6l^2 \n" ); document.write( "% increase in surface area=6l^2x(0.0201)*100/6l^2=2.01 %\r \n" ); document.write( "\n" ); document.write( "now the original volume=l^3 & after heating volume=(1.01l)^3=1.030301l^3 \n" ); document.write( "so the increase in volume=1.030301l^3-l^3=0.030301*l^3 \n" ); document.write( "% increase in volume=0.030301*l^3*100/l^3=3.0301 % \n" ); document.write( "ans\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |