document.write( "Question 373559: The length of a rectangular shaped box is 12 cm more than the height, and the width is 3 cm less than the height. The volume is 324 cm^3. Find the length, width, and height. \n" ); document.write( "
Algebra.Com's Answer #265856 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The length of a rectangular shaped box is 12 cm more than the height, and the width is 3 cm less than the height. The volume is 324 cm^3. Find the length, width, and height. \n" ); document.write( "... \n" ); document.write( "h= x cm \n" ); document.write( "L=x+12 \n" ); document.write( "width = x-3 \n" ); document.write( "... \n" ); document.write( "Volume V = 324 cm^3 \n" ); document.write( "... \n" ); document.write( "Volume V = L*W*H \n" ); document.write( "x(x+12)(x-3)=324 \n" ); document.write( "x(x^2+9x-36)=324 \n" ); document.write( "x^3+9x^2-36x-324=0 \n" ); document.write( "(x-6)(x+6)(x+9)=0 \n" ); document.write( "take the positive root \n" ); document.write( "h = 6 \n" ); document.write( "L= 18 \n" ); document.write( "W=3 \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |