document.write( "Question 310564: what is the length of the diagonal of a regular cube with a surface area of 54 units squared? \n" ); document.write( "
Algebra.Com's Answer #222071 by mananth(16946)![]() ![]() You can put this solution on YOUR website! surface area of cube = 54 \r \n" ); document.write( "\n" ); document.write( "let the side be x \n" ); document.write( "x^2 is the area of one face of the cube. \n" ); document.write( "there are 6 faces. \n" ); document.write( "6x^2 = 54 \n" ); document.write( "x^2= 54/6 \n" ); document.write( "x^2=9 \n" ); document.write( "x=3 units\r \n" ); document.write( "\n" ); document.write( "apply pythagoras theorem to find the diagonal.\r \n" ); document.write( "\n" ); document.write( "3^2 +3^2 = diagonal^2\r \n" ); document.write( "\n" ); document.write( "9+9= diagonal ^2 \n" ); document.write( "diagonal = sqrt18 \n" ); document.write( " \n" ); document.write( " |