A cube has the letters A, B, C, D, E, and F on its six faces. Three different views of the same cube are shown below:

• View 1: Top = A, Front = B, Right = C
• View 2: Top = A, Front = C, Right = E
• View 3: Top = A, Front = E, Right = D

Which of the following letters is on the face opposite to A?

Correct Answer: F

To find which letter is on the face opposite to A, we can observe the faces that are adjacent to face A across the three given views of the cube.

Step 1: Analyze adjacent faces to face A
From View 1: Top = A, Front = B, Right = C.
This shows that faces B and C are adjacent to A.

From View 2: Top = A, Front = C, Right = E.
This shows that face E is also adjacent to A.

From View 3: Top = A, Front = E, Right = D.
This shows that face D is also adjacent to A.

Step 2: Determine the opposite face
The cube consists of six faces labeled A, B, C, D, E, and F.
Each face on a cube is adjacent to exactly four other faces and opposite to exactly one face.

Combining the information from all three views, the four faces adjacent to A are B, C, D, and E.

Since B, C, D, and E are all adjacent to A, the only face remaining that can be opposite to A is F.

Hence, the letter on the face opposite to A is F.