document.write( "Question 293181: a rectangular box has a volume of 4 m^3. what is the volume of an identically shaped box whose surface area is four times as big ? \n" ); document.write( "
Algebra.Com's Answer #211750 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a rectangular box has a volume of 4 m^3. \n" ); document.write( ": \n" ); document.write( "Assume a box with dimensions, 2 by 2 by 1 \n" ); document.write( "Find the surface area \n" ); document.write( "S.A. = 2(2^2) + 4(2*1) \n" ); document.write( "S.A = 8 + 8 \n" ); document.write( "S.A = 16 sq/m \n" ); document.write( ": \n" ); document.write( "The relationship of the vol to the surface area 4:16 = 1:4 \n" ); document.write( ": \n" ); document.write( "what is the volume of an identically shaped box whose surface area is four times as big ? \n" ); document.write( ": \n" ); document.write( "4 * 16 = 64 sq/m \n" ); document.write( ": \n" ); document.write( "Let x = volume of the larger box with 4 times the surface area \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "4x = 64 \n" ); document.write( "x = 64/4 \n" ); document.write( "x = 16 cu/m volume of the larger box \n" ); document.write( " |