A cube wood with a length of 2 decimeters is processed into the largest cylinder, that is, the diameter at the bottom of the cylinder is 2 decimeters and the height is 2 decimeters, so the cylinder is V=SH=πr? H = 3.14x1x1x 2 = 6.28 cubic decimeter, and the volume of the cube V=l? =2x2x2=8 cubic decimeters

So the cutting volume is 8-6.28= 1.72 cubic decimeter.