To determine the number of cubed pieces of fudge that are 3 inches on an edge that can be packed into a Christmas tin, we first need to calculate the volume of the tin. The dimensions of the tin are 9 inches deep, 12 inches wide, and 8 inches high. Therefore, the volume of the tin is 9 x 12 x 8 = 864 cubic inches. Each cube of fudge has a volume of 3 x 3 x 3 = 27 cubic inches. To find the number of cubes that can fit in the tin, we divide the volume of the tin by the volume of one fudge cube, which is 864 / 27 = 32. Hence, the maximum number of cubed pieces of fudge that can be packed into the tin is 32.