A house is a building suitable for living in. My home is the place I live in, and plan to return to if I leave it. "House" and "home" are very common, ordinary words. A vacant house with nobody living in it is still a house, but it's not a home. To nomadic people that live in tents, the tent is a home, but it isn't a house. A household is the group of people who live together, as a functional unit, in a home. It is a slightly technical term. It's used in things like census reports and on tax forms. "Hearth" is the floor of a fireplace and often extends out to form part of the floor. Before modern heating, if your house was heated by a fireplace, you might sit on the hearth because it was the warmest and most comfortable place to be. It's a rare word now. It's only used if you are actually building a fireplace, or as part of the idiom "hearth and home." It symbolizes the comfort of home.

A house is a building meant for a family or whoever to live in. It is not part of a complex or group of houses, it is just a single house. A home refers to anywhere that someone lives. For example, an apartment, a condo, or if someone lives in a park then they may consider that park their "home". A household refers to all the people living in that home. For example "The whole household was sleeping" that means "everyone in that home was sleeping" And Im not sure what a hearth is I would have to look it up.