Question 140
Andrea glues 27 ordinary 6-sided dice together so as to form a large cube. The dice are oriented so that the sums of the values readable on each face of the cube are, in some order, $14$, $22$, $30$, $38$, $46$, $54$. What is the sum of all the faces of the dice that, having been glued together, can no longer be read?
(A) 189
(B) 204
(C) 261
(D) 333
(E) 363
(A) 189
(B) 204
(C) 261
(D) 333
(E) 363