Its surface area is 687/77 square lengths of the edge.
[3] Referring to the images below, the four old cubes are called colored, and the new one black.
Each colored cube has two opposite vertices on a 3-fold symmetry axis, which are shared with the black cube.
(In the picture both 3-fold vertices of the green cube are visible.)
This compound shares these properties with the compound of five cubes (related to the dodecahedron), into which it can be transformed by rotating the colored cubes on their 3-fold axes.