Convert the units of capacity.

 3 gal 2 qt 1 cup = __ fl oz

264

424

456

464

1 gallon = 128 fl oz

1 quart = 32 fl oz
1 cup = 8 fl oz

3 gal = 3 x 128 = 384 fl oz
2 qt = 2 x 32 = 64 fl oz
1 cup = 8 fl oz

Total = 384 + 64 + 8 = 456 fl oz

Therefore, 3 gal 2 qt 1 cup = 456 fl oz.

So, the answer is 456.