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106 golf balls
144
That would be very difficult to determine. The experiment could never be set up and conducted, since there is no such thing as a "cubed square foot". If you meant to say cubic foot, then here is a way to determine it. You will need golf tees that will sink in water, plus a container holding 2 cubic feet, with a mark at the one cubic foot level. Fill the container with water to the one cubic foot level. Start dropping in the golf tees until the water level is at the top, or two cubic feet. Count how many golf tees you put into the container to get your answer.
If the 30 is also used to pay for a golf clinic, then there are 18 left over to buy balls which is equivalent to 6 buckets.
Dozen is a count and bushel is a volume. The two measurements cannot be reconciled without a conversion factor. There are fewer than one dozen bowling balls in a bushel but, a lot more than a dozen golf balls in a bushel.