Just in case it helps, Google just told me:
Chevrolet
1937-1939:
1/2 Ton Short Bed: 78 inches long.
1/2 & 3/4 Ton Long Bed: 85 3/4 inches long.
1 Ton Extra Long Bed: 108 inches long.
1940-1945:
1/2 Ton Short Bed: 79 inches long.
1/2 & 3/4 Ton Long Bed: 85 3/4 inches long.
1947-1951:
1/2 Ton Short Bed: 77 inches long.
1/2 Ton Long Bed and 3/4 Ton: 88 inches long.
Also, is it possible that the bed on your truck has a bed on it that is from a different year than the original (as mine turned out to have)?