The formula for the surface area of a cube is 6a^2, where a = the length of one edge. To get the cube's edge length, use the vertex coords given to you [(4, 8) and (12,16)]. From 4 to 12 is 8 points, so each edge of the cube is 8 points long. 6(8)^2 = 384, so your answer is C.
The answer to this question is 384 square units. 1. 12-4=8 2. 16-8=8 3. Cubes=8 by 8 sides 8 4. SA= 6 times 8 with a power of 2 5. 6 times 64 6. 384 units