Consider a cube with sides of length 1 meter, denote one vertex by the letter A.

Question

Find the sum of the distances from A to each of the other vertices of the cube.

Answer 1

Total vertices other than A : 7

3 Adjacent vertices each with length = 1

3 vertices on the face diagonal with length sqrt(2)

1 vertex on the major diagonal with length sqrt(3)

Total length = 3(1) + 3(sqrt(2)) + sqrt(3)