A B C H T U
D E K L Q Y
F G I M N W
O P R S V Z
According to the introduction, each of the 24 faces of the Letter Cubes has a different letter on it.
Given the word MOCK, we arbitrarily assign M to cube 1, O to cube 2, C to cube 3, and K to cube 4.
M
O
C
K
From the word CONE, E cannot be on cube 2 or 3; and from the word MARE, E cannot be on cube 1 with M.
E is on a face of cube 4.
M
O
C
K E
Then from CONE, N is on cube 1 with M.
M N
O
C
K E
T isn't on cube 4 with E (STEW), nor on cube 1 or 2 (TONY); T is on cube 3.
M N
O
C T
K E
Then Y is on cube 4, from TONY.
M N
O
C T
K E Y
From MARE, A and R are on cubes 2 and 3 or vice versa.
Then W must be on cube 1 or cube 4 (WARD).
W isn't on 4 (STEW) and must be on 1.
M N W
O
C T
K E Y
S is on 2 (STEW) and D on 4 (MARE, WARD).
M N W
S O
C T
K E Y D
From VICE, V and I must be on cubes 1 and 2 or vice versa.
However, from DISH, I cannot be on cube 2 with S.
So, I in VICE is on cube 1 and V on 2; and H in DISH is on cube 3.
M N W I
S O V
C T H
K E Y D
From CLOG, L and G are on cubes 1 and 4 or vice versa.
From CLIP, L can't be on cube 1 with I; L is on 4 and G in CLOG on 1.
M N W I G
S O V
C T H
K E Y D L
P is on cube 2 (CLIP).
M N W I G
S O V P
C T H
K E Y D L
By QUIP, U isn't on cube 1 with I or cube 2 with P.
From FURL, also, U isn't on cube 4 and must be on cube 3.
M N W I G
S O V P
C T H U
K E Y D L
F and R from FURL must be on cubes 1 and 2 in some order; A and R from MARE and WARD must be on cubes 2 and 3 in some order.
Therefore, Then F is the sixth letter on cube 1, R is on cube 2, and A is on cube 3.
M N W I G F
S O V P R
C T H U A
K E Y D L
Q must be the sixth letter on cube 4 (QUIP).
M N W I G F
S O V P R
C T H U A
K E Y D L Q
From FAZE, Z is the sixth letter on cube 2.
M N W I G F
S O V P R Z
C T H U A
K E Y D L Q
By elimination, B is on cube 3.
The final cubes look like:
M N W I G F
S O V P R Z
C T H U A B
K E Y D L Q
And, rearranging them into alphabetical order:
A B C H T U
D E K L Q Y
F G I M N W
O P R S V Z
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