Bare minimum is roughly 3x4x6. That's 1' in height for the light itself, 2' distance to plants, 1' for pots, 2' for plants. That requires cropping or running short fast strains in a sog, and a proper exhaust in any case.
4x4 is more ideal for max yield of a 6/750, a few weeks boosting to 825w. 4x5 or 5x5 work fine too though, a good setup running a 6/750 on 825 can do better than a poor set up 1kw setup. If I were to build a closet/space from scratch I'd go for 4x4.5x7.5
8' height is plenty, so is 7'. (8' already allows for 4' plants excluding 1' pots).