Final answer:
The volume of the cube is 1/27 cubic feet.
Step-by-step explanation:
To find the volume of a cube, we need to know the length of its edges.
Since the edges of the cube in this question add up to 4 feet, each edge has a length of 4/12 = 1/3 feet (since there are 12 inches in a foot). The volume of a cube is found by multiplying the length of one edge by itself three times.
So, the volume of this cube would be (1/3)^3 = 1/27 cubic feet.