I know that you can generate an $m$x$n$ matrix of random numbers by `RandomReal[range,{m,n}]`, where eg `range={0,1}`. 

Is there a  way to generate an $m$x$n$ matrix of random numbers ***and*** have each column entry be drawn from a different range?

My question is, if there is something analogous to `RandomReal[{range1,range2,...,rangen},{m,n}]` (which obviously does not evaluate because it is not supported).

My current solution to this problem is using `Map` ie
  
     Transpose[
       Map[
         RadomReal[#,m]&,
         {range1,range2,...,rangen}
       ]
      ]

where `m` is the desired number of $n$-tuples of random numbers from $n$ different ranges that I need.

Is there a better alternative to this?