GAUSS8 2014 Problem 22

Beginning with a 3\:cm by 3\:cm by 3\:cm cube, a 1\:cm by 1\:cm by 1\:cm cube is cut from one corner and a 2\:cm by 2\:cm by 2\:cm cube is cut from the opposite corner, as shown. In cm^2, what is the surface area of the resulting solid?

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Answer Choices
A. 42
B. 45
C. 48
D. 51
E. 54