Solution: According to figure 1, length 16, width 6, height 6, surface area 2 (16× 6+16× 6+6× 6) = 456.

According to Figure 2, the length is 32, the width is 6, the height is 3, and the surface area is 2 (32× 6+32× 3+6× 3) = 6 12.

According to Figure 3, the length is 16, the width is 12, the height is 3, and the surface area is 2 (16×12+16× 3+12× 3) = 550. Therefore, according to figure 65436.

∫ length > width > height,

∴ When placed as shown in Figure 1, the length of the new cuboid is the smallest, and the change of width and height is not too big.

∴ The surface area will become smaller. Therefore, when four pieces of super soap are placed as shown in Figure 1, the outer packaging materials are the least, that is, the largest surfaces can overlap.