OOP!

Is there a better way of going about this? Say we have a house. The house has a bunch of rooms. Each room has a bunch of desks. Each desk has a bunch of drawers. Each drawer has a bunch of folders. And each folder has a bunch of papers.

class Paper{
};

class Folder{
public:
vector<Paper> paper;
};

class Drawer{
public:
vector<Folder> folder;
}

.
.
.

class House{
public:
vector<Room> room
};

//To access the first paper in the first folder in the first drawer in the first desk in the first room of the house:
house.room[0].desk[0].drawer[0].folder[0].paper[0]

It works, but am I going about this the right way?

Just use a tree please, less hassle probably. At least use a function to make it readable. get_paper(room desk drawer folder paper)

All are "Containers" except the last one "Papers".

It's the "right" way insofar as we have no more information from which to judge your application. Given that it's a useless class assignment that doesn't do anything useful, yes, it'll work quite well.

if you absolutely had to access papers at the house level then yes