A cube has edge length 1. Each line containing an edge makes equal angles with plane $\alpha$. Then the maximum area of the cross-section obtained when plane $\alpha$ intersects this cube is
A. $\frac { 3 \sqrt { 3 } } { 4 }$
B. $\frac { 2 \sqrt { 3 } } { 3 }$
C. $\frac { 3 \sqrt { 2 } } { 4 }$
D. $\frac { \sqrt { 3 } } { 2 }$