You are comparing apples to apples but I think there is an issue of scale. It's like the apples that are produced by the tree out back (Cuba) vs the apples that are produced by the little stand the vineyard keeps for their fall cider (US). I don't have a lot of fruit trees out back so the couple basket fulls that apple tree produces is a huge portion of my fruit production but the vineyard's couple ton of apples is only a small portion of their fruit production.
For rice, the largest rice crop Cuba has ever produced in a single season is estimated to be 465k tons in 03/04. The US produced 11m tons and exported 3m tons of rice last year.
Edit: overstated US rice production do to not noticing a unit difference.