【Analysis】A rectangular piece of paper with a length of 12 cm and a width of 8 cm can obviously cut out at most 4 isosceles right triangles with legs of 6 cm, so the remaining area is not difficult to find.

【Solution】Solution: According to the analysis, as shown in the figure, a rectangular piece of paper with a length of 12 cm and a width of 8 cm can cut out at most 4 isosceles right triangles with legs of 6 cm. Therefore, the area of the remaining part is at least $=12 \times(8-6)=24$. The answer is: 24
8. (5 points) Cut out 4 equally sized isosceles right triangles from a rectangular sheet of paper that is 12 cm long and 8 cm wide. The minimum area of the remaining part is $\qquad$ square centimeters.