Don't get me wrong, I'm pro-metric, but the old units are not entirely irrational.
For instance, there are 12 inches in a foot, which may seem odd, unless you need to measure 1/3 of a foot. You might argue that the foot represents a future society that uses base-12, while metric lags behind, in the not-as-divisible base-10 world.
It's also interesting to note that on rulers, in the US anyway, each inch is subdivided into 16 sub-units, so measurements are usually given as, say, 3 3/16 inches rather than 3.1875 or (rounding) 3.2 inches. In other words, hexadecimal rather than decimal.