document.write( "Question 1041250: The whole surface of a rectangle solid is 448sq. cm. The length of the solid is twice its breadth and the height is half its breadth. Find the volume of the solid. \n" ); document.write( "
Algebra.Com's Answer #656280 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The whole surface of a rectangle solid is 448sq. cm. \n" ); document.write( " The length of the solid is twice its breadth and the height is half its breadth. \n" ); document.write( " Find the volume of the solid. \n" ); document.write( ": \n" ); document.write( "let x = the breadth \n" ); document.write( "then \n" ); document.write( "2x = the length \n" ); document.write( "and \n" ); document.write( ".5x = the height \n" ); document.write( ": \n" ); document.write( "The surface area: \n" ); document.write( "2(x*2x) + 2(x*.5x) + 2(2x*.5x) = 448 \n" ); document.write( "divide by 2, multiply \n" ); document.write( "2x^2 +.5x^2 + x^2 = 224 \n" ); document.write( "3.5x^2 = 224 \n" ); document.write( "x^2 = 224/3.5 \n" ); document.write( "x^2 = 64 \n" ); document.write( "x = \n" ); document.write( "x = 8 is the breadth \n" ); document.write( "then \n" ); document.write( "2(8) = 16 cm is the length \n" ); document.write( "and \n" ); document.write( ".5(8) = 4 cm the height \n" ); document.write( "therefore \n" ); document.write( "Vol = 8 * 16 * 4 = 512 cu/cm \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "we can check this easily \n" ); document.write( "x*2x*.5x = 512 \n" ); document.write( "x^3 = 512 \n" ); document.write( "Find the cube root \n" ); document.write( "x = 8 \n" ); document.write( " \n" ); document.write( " |