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As far as I know, it will fit - BUT you will have to use the '50 fenders with it IF it is an early '50. They changed mid year.
The difference in the beds was the raised side panels where the fenders attach. The fenders have a corresponding 'notch' The late '50/'51/52 has flat sides - thus no notch in the fender.
Generally the boxes have the same shape and dimensions, but the raised panel sticks out roughly 1/2" from the bedside - it is obvious. It measures approx 13 x 70" with rounded corners.
I'm sure they used the same frame so other than the fender issue it should work within the series: F1 to F1, etc.