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6.5-284 Case length 2.170 in (55.1 mm)
6.5-06 Case length 2.494 in (63.3 mm)
IMVHO: The 6.5-06 with the longer case would have "more case capacity.
Other stats:
6.5-06 Base diameter .4698 in (11.93 mm)
6.5-284 Base diameter .501 in (12.7 mm)
6.5-06 Bullet diameter .265 in (6.7 mm)
6.5-284 Bullet diameter .264 in (6.7 mm)
6.5-06 Case length 2.494 in (63.3 mm)
6.5-284 Case length 2.170 in (55.1 mm)
6.5-06 Neck diameter .296 in (7.5 mm)
6.5-284 Neck diameter .297 in (7.5 mm)
6.5-06 Overall length 3.44 in (87 mm)
6.5-284 Overall length 3.228 in (82.0 mm)
6.5-06 Parent case .30-06 Springfield
6.5-284 Parent case .284 Winchester
6.5-06 Rim diameter .473 in (12.0 mm)
6.5-284 Rim diameter .473 in (12.0 mm)
6.5-06 Rim thickness .034 in (0.86 mm)
6.5-284 Rim thickness .040 in (1.0 mm)
Ref: Wikipedia
The 6.5/284 has a rebated rim like its parent case and like the "short magnums." The case itself has a larger diameter than the 30-06 case, though I don't know what that translates to in case capacity.
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