This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the face configuration of each identical block. Each block has 6 faces. We are given two conditions: 1. "A black face is opposite a white face." This implies that for every black face, its opposite face is white, and vice versa. Therefore, the number of black faces (N_B) must equal the number of white faces (N_W). 2. "There is a grey face." This means the number of grey faces (N_G) must be at least 1 (N_G 1). The total number of faces is 6. So, N_B + N_W + N_G = 6. Since N_B = N_W, we have $2