document.write( "Question 1081551: the width of a box is 4 inches more then the height. the length is the difference of 9 inches and the height. the volume of the box is 180 cubic inches. what are all the poswible dimensions for the box? \n" ); document.write( "
Algebra.Com's Answer #695601 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! the width of a box is 4 inches more then the height. the length is the difference of 9 inches and the height. the volume of the box is 180 cubic inches. what are all the poswible dimensions for the box? \n" ); document.write( "------------- \n" ); document.write( "W = H + 4 \n" ); document.write( "L = 9 - H \n" ); document.write( "--- \n" ); document.write( "Vol = L*W*H = H*(H+4)*(9-H) = 180 \n" ); document.write( "--- \n" ); document.write( "H^3 - 5H^2 - 36H + 180 = 0 \n" ); document.write( "(H-5)*(H-6)*(H+6) = 0 \n" ); document.write( "H = 5 or 6 \n" ); document.write( "--> 5 by 9 by 4 \n" ); document.write( "or 6 by 10 by 3 \n" ); document.write( " \n" ); document.write( " |