Answer: 512/27 cubic yards.
Step-by-step explanation:
To find the volume of a cube, we need to cube the length of one of its edges.
The edge length of the cube is 2 2/3 yards or 8/3 yards.
Volume of the cube = (edge length)^3 = (8/3)^3 = 512/27 cubic yards.
Therefore, the volume of the cube with an edge length of 2 2/3 yards is 512/27 cubic yards.