A cutset of a partially ordered set is a subset which meets every maximal chain, and a fibre of a partially ordered set is a subset which meets every maximal antichain. A poset is called skeletal if every cutset meets every fibre. K 1 , n stands for the linear sum of a singleton and an n-element antichain. Duffus et al. (1990) showed that any Boolean lattice K 1 , 1 x ... x K 1 , 1 is skeletal. Gibson and Maltby (1993) showed that K 1 , m x K 1 , n is skeletal and asked if every K 1 , n 1 x ... x K 1 , n k is skeletal. We prove that K 1 , 1 x ... x K 1 , 1 x K 1 , m x K 1 , n and K 1 , l x K 1 , m x K 1 , n are skeletal.