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None. All of the dirt has been removed from that volume in order to construct the hole.
Since it is a hole, it doesn't have any dirt. But it has the capacity to hold 1 cubic inch.
Traditionally, the answer to this question is that since the object in question is a hole, there is no dirt in it. If the question is inquiring as to the volume of the hole, however, the hole could potentially hold 108 ft3 of dirt.
There is no dirt. It's a hole.
There is no dirt in a hole