6. A rectangular prism with a square cross-section has a surface area of 2448 square centimeters. A largest possible cube is sawed off from one end, and the surface area of the cube is 216 square centimeters. The maximum number of such cubes that can be sawed from this piece of wood is $\qquad$ (Note: Each cut results in a loss of 2 millimeters of wood)
【Answer】11
【Analysis】Surface area of cuboids and cubes
The cross-sectional area can be calculated as $216 \div 6=36$ square centimeters, so the height of the cuboid is $2448 \div 36=68$ centimeters; since each cut results in a loss of 2 millimeters, or 0.2 centimeters, $(68+0.2) \div(6+0.2)=11$ (tree planting problem), the maximum number of segments that can be sawn is 11.