There are 16 US fluid ounces in 1 pint, and 2 US cups equal 1 pint. There are 8 fluid ounces in 1 cup, therefore 2 US fluid ounces equals 1/4 of a US cup. For those interested in Imperial ounces: 20 Imperial ounces equals 1 pint.
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Since the densities of materials vary, we would have to know what the solid ounce was made of. Then we would have to know how you wanted the answer stated. Please clarify the question.