document.write( "Question 257144: the volumes of two similar solids, A and B, are in the ratio 1:64, respectively. What is the ratio of the surface area of solid A to the surface area of solid B? Express answer as a common fraction. \n" ); document.write( "
Algebra.Com's Answer #189148 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the volumes of two similar solids, A and B, are in the ratio 1:64, respectively. \n" ); document.write( " What is the ratio of the surface area of solid A to the surface area of solid B? Express answer as a common fraction. \n" ); document.write( ": \n" ); document.write( "Use cubes for simplicity, with sides, x & y \n" ); document.write( " \n" ); document.write( "y^3 = 64x^3 \n" ); document.write( "Cube root of both sides \n" ); document.write( "y = 4x \n" ); document.write( ": \n" ); document.write( "Surface area \n" ); document.write( " \n" ); document.write( "Cancel 6 \n" ); document.write( " \n" ); document.write( "Replace y with 4x \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |