Three cubes, each with edge length 1 unit, are glued together such that at least one face of each cube completely overlaps with a face of another cube.
Accordingly, which of the following cannot be the distance between two selected vertices of the solid obtained in this way, in units?
A) $\sqrt { 7 }$
B) $\sqrt { 8 }$
C) $\sqrt { 9 }$
D) $\sqrt { 10 }$
E) $\sqrt { 11 }$