A Note on a Cube-Packing Problem

Abstract

For positive integer $n$, let $f_3(n)$ be the least upper bound of the sums of the lengths of the sides of $n$ cubes packed into a unit cube $C$ in three dimensions in such a way that the smaller cubes have sides parallel to those of $C$. In this paper, we improve the lower bound of $f_3(n)$.