Let P, a, B and C be the four points on the surface of ball o, PA, Pb and PC are perpendicular, and PA = Pb = PC = 1, then the surface area of ball o is______ .

Let P, a, B and C be the four points on the surface of ball o, PA, Pb and PC are perpendicular, and PA = Pb = PC = 1, then the surface area of ball o is______ .

First, we expand the triangular pyramid into a cube and find out the length of the diagonal, that is, the side length of the diagonal is 3, so the radius of the ball is 32, so the surface area of the ball is 4 π (32) 2 = 3 π