A computer manufacturer needs to change the dimensions of its foam packaging for a new model computer. The width of the original piece is three times the height and the length is equal to the height squared. The volume of the new piece can be represented by the equation , where h is the height of the original piece. Factor the equation for the volume of the new piece to determine three expressions that represent the height, length, and width of the new piece.

Question

A computer manufacturer needs to change the dimensions of its foam packaging for a new model computer. The width of the original piece is three times the height and the length is equal to the height squared. The volume of the new piece can be represented by the equation   , where h is the height of the original piece. Factor the equation for the volume of the new piece to determine three expressions that represent the height, length, and width of the new piece.