Three $1 \times 1 \times 1$ cubes are joined face to face in a single row and placed on a table, as shown. The cubes have a total of 11 exposed $1 \times 1$ faces. If sixty $1 \times 1 \times 1$ cubes are joined face to face in a single row and placed on a table, how many $1 \times 1$ faces are exposed?
(A) 125
(B) 220
(C) 182
(D) 239
(E) 200

![](https://cdn.mathpix.com/cropped/2024_04_20_6ed09463f225f8ba1f07g-027.jpg?height=189&width=548&top_left_y=754&top_left_x=1187)

## Part B: Each correct answer is worth 6.
Suppose that sixty $1 \times 1 \times 1$ cubes are joined face to face in a single row on a table.

Each of the 60 cubes has its front, top and back faces exposed.

The leftmost and rightmost cubes also have their left and right faces, respectively, exposed.

No other faces are exposed.

Therefore, the number of $1 \times 1$ faces that are exposed is $60 \times 3+2$ which equals 182 .

ANSWER: (C)