document.write( "Question 983951: a rectangular solid has a volume of 640 cubic inches. the width is 3 inches more than the height and the length is 1 inch more than 3 times the height. find the dimensions of the solid. \n" ); document.write( "
Algebra.Com's Answer #604786 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! a rectangular solid has a volume of 640 cubic inches. the width is 3 inches more than the height and the length is 1 inch more than 3 times the height. find the dimensions of the solid. \n" ); document.write( "================= \n" ); document.write( "Vol = L*W*H = 640 \n" ); document.write( "--- \n" ); document.write( "(3H+1)*(H+3)*H = 640 \n" ); document.write( "3H^3 + 10H^2 + 3H - 640 = 0 \n" ); document.write( "----- \n" ); document.write( "If they are integers, one dimension is a multiple of 5. \n" ); document.write( "--> H = 2 \n" ); document.write( "--> 7*5*2 = 70 NG \n" ); document.write( "================= \n" ); document.write( "H = 5 \n" ); document.write( "--> 16*8*5 = 640 works \n" ); document.write( " \n" ); document.write( " |