document.write( "Question 1178572: Two rectangular prisms are constructed. One measures 4cm times 6cm times x cm and the other measures 3cm times 8cm times y cm where both x and y are integers. If they have equal surface area, what is the smallest possible value of x+y? \n" ); document.write( "
Algebra.Com's Answer #807899 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Two rectangular prisms are constructed. One measures 4cm times 6cm times x cm and the other measures 3cm times 8cm times y cm where both x and y are integers. If they have equal surface area, what is the smallest possible value of x+y?\r \n" ); document.write( "\n" ); document.write( "Surface area 1 = S1 (4,6,x) \n" ); document.write( "Surface area of second = s2 (3,8,y)\r \n" ); document.write( "\n" ); document.write( "S1=s2\r \n" ); document.write( "\n" ); document.write( "S = 2( lw +wh +lh)\r \n" ); document.write( "\n" ); document.write( "2(4*6+6*x+4*x) = 2(3*8+8*y+3y)\r \n" ); document.write( "\n" ); document.write( "24+10x=24+11y\r \n" ); document.write( "\n" ); document.write( "10x=11y\r \n" ); document.write( "\n" ); document.write( "x/y = 11/10\r \n" ); document.write( "\n" ); document.write( "x+y =21 \n" ); document.write( " |