GAUSS8 2001 Problem 22

Sixty-four white 1\times1\times1 cubes are used to form a 4\times4\times4 cube, which is then painted red on each of its six faces. This large cube is then broken up into its 64 unit cubes. Each unit cube is given a score as follows:

\begin{array}{cc} \text{Exact number of faces painted red} & \text{Score} \\ \hline 3 & 3 \\ 2 & 2 \\ 1 & 1 \\ 0 & -7 \\ \end{array}

The total score for the 4\times4\times4 cube is

Answer Choices
A. 40
B. 41
C. 42
D. 43
E. 44