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We make progress on a conjecture made by [DM], which states that the$d$-dimensional frames of $m$-dimensional boxes resulting from a fragmentationprocess satisfy Benford's law for all $1 \leq d \leq m$. We provide asufficient condition for Benford's law to be satisfied, namely that the maximumproduct of $d$ sides is itself a Benford random variable. Motivated to producean example of such a fragmentation process, we show that processes constructedfrom log-uniform proportion cuts satisfy the maximum criterion for $d=1$.

Benfordness of Measurements Resulting from Box Fragmentation