Question 23
Given a cube of unitary side (see figure), we consider the plane to which the edges $AB$ and $CD$ belong and the one to which the edges $AE$ and $FD$ belong. These two planes cut the cube into four parts. What is the maximum volume of these parts?
(A) $\frac{1}{4}$
(B) $\frac{1}{3}$
(C) $\frac{\sqrt{2}}{4}$
(D) $\frac{3}{8}$
(E) $\frac{1}{2}$.
(A) $\frac{1}{4}$
(B) $\frac{1}{3}$
(C) $\frac{\sqrt{2}}{4}$
(D) $\frac{3}{8}$
(E) $\frac{1}{2}$.