document.write( "Question 310563: what is the length of the diagonal of a cube with a surface area of 24units squared?
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Algebra.Com's Answer #222074 by mananth(16946)![]() ![]() You can put this solution on YOUR website! the surface area of cube = 24\r \n" ); document.write( "\n" ); document.write( "Let side be x \n" ); document.write( "area of one face of cube = x^2 \n" ); document.write( "Total surface area = area of 6 faces \n" ); document.write( "=6x^2 \n" ); document.write( "6x^2=24 \n" ); document.write( "x^2=4 \n" ); document.write( "x=2 \n" ); document.write( ".. \n" ); document.write( "Use pythagoras theorem to find diagonal D\r \n" ); document.write( "\n" ); document.write( "2^2 +2^2 = D62 \n" ); document.write( "8=D^2 \n" ); document.write( "d= sqrt 8 \n" ); document.write( " |