document.write( "Question 229266: The volumes of two cubes differ by 259 cu meters. If the edges of one cube are each 4 meters greater than the edges of the other, what is the sum of the lengths of one edge of each cube? \n" ); document.write( "
Algebra.Com's Answer #170058 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! X^2-Y^2=259 \n" ); document.write( "X=Y+4 \n" ); document.write( "(Y+4)^2-Y^2=259 \n" ); document.write( "Y^2+8Y+16-Y^2=259 \n" ); document.write( "8Y=259-16 \n" ); document.write( "8Y=243 \n" ); document.write( "Y=243/8 \n" ); document.write( "Y=30.375 ANS FOR THE SMALLER SQUARE SIDES. \n" ); document.write( "X=30.375+4 \n" ); document.write( "X=34.375 ANS FOR THE LARGER SQUARE SIDES. \n" ); document.write( "PROOF: \n" ); document.write( "34.375^2-30.375^2=259 \n" ); document.write( "11.81.64-922.64=259 \n" ); document.write( "259=259 \n" ); document.write( " \n" ); document.write( " |