Insulated box assembly with overlapping panels

1. A box assembly comprising:

an exterior piece comprising:

a middle portion;

a connecting segment coupled to the middle portion by a fold line; and

an end segment coupled to the connecting segment by a fold line, the connecting segment positioned substantially perpendicular to the middle portion and the end segment;

an interior piece positioned within the exterior piece, the interior piece comprising a side panel, a space defined between the middle portion and the side panel, the interior piece defining a cavity, the end segment extending into the cavity, the end segment coupled to the side panel; and

an insulator positioned at least partially within the space.

2. The box assembly of claim 1 , wherein the insulator is positioned in facing engagement with the middle portion, the connecting segment, and the side panel.

3. The box assembly of claim 1 , wherein:

the interior piece further comprises a lower portion coupled to the middle portion by a fold line;

the interior piece further comprises a bottom panel coupled to the side panel by a fold line; and

the box assembly further comprises a bottom insulator positioned at least partially between the lower portion and the bottom panel.

4. The box assembly of claim 1 , wherein:

the middle portion is a first middle portion;

the connecting segment is a first connecting segment;

the end segment is a first end segment;

the side panel is a first side panel;

the exterior piece further comprises:

a second middle portion coupled to the first middle portion by a fold line;

a second connecting portion coupled to the second middle portion by a fold line;

a second end segment coupled to the second connecting portion by a fold line; and

an end tab coupled to the second end segment by a fold line; and

the end tab is coupled to the first side panel.

5. The box assembly of claim 4 , wherein:

the interior piece further comprises:

a side tab coupled to the first side panel by a fold line; and

a second side panel positioned adjacent to the first side panel; and

the side tab is coupled to the second side panel.

6. The box assembly of claim 5 , wherein the side tab is at least partially positioned between the second side panel and the second connecting portion.

7. The box assembly of claim 5 , wherein:

the interior piece further comprises a bottom panel;

the first side panel is coupled to the bottom panel by a fold line; and

the second side panel is coupled to the bottom panel by a fold line.

8. The box assembly of claim 1 , wherein:

the middle portion is a first middle portion;

the side panel is a first side panel;

the exterior piece further comprises a second middle portion and a third middle portion;

the second middle portion and the third middle portion are positioned substantially perpendicular to the first middle portion;

the interior piece further comprises a second side panel and a third side panel;

the first side panel and the third side panel are positioned substantially perpendicular to the second side panel;

the insulator is a first side insulator;

the box assembly further comprises a second side insulator;

the first side insulator is at least partially enclosed in the space by the first middle portion, the second middle portion, the third middle portion, and the first side panel; and

the second side insulator is at least partially enclosed in the space by the first side panel, the second side panel, the third side panel, and the second middle portion.

9. The box assembly of claim 8 , wherein:

the first middle portion is a front middle portion;

the second middle portion is a right middle portion;

the third middle portion is a left middle portion;

the first side panel is a front side panel;

the second side panel is a right side panel; and

the third side panel is a rear side panel.