A woodchuck chucks about 700 pounds of dirt when digging a burrow. Since these burrows are generally used for housing, we can assume the most likely reason for a woodchuck chucking wood would be for the purpose of constructing a log home. Well assume our furry friend is using a common tree in his habitat zone, in this example hickory, which has an approximate density of 45 pounds per cubic foot. Now, allowing for average air space in a standard 8x4x4ft cord of wood, we get about 80 cubic feet per cord. So we can extrapolate that a woodchuck would chuck about 1/5 of a cord of wood if a woodchuck could chuck wood.
Nightfall; find a woman, man.
The one that'll really keep you up at night: How many bagels could a beagle bake if a Beagle could bake bagels?