A sphere is inscribed in a cube with an edge of x centimeters. In terms of x what is the shortest possible distance from one of the vertices of the cube to the surface of the sphere?
A. x(\sqrt{3}- 1)
B. \frac{x}{2}
C. x(\sqrt{2} - 1)
D. \frac{x}{2}(\sqrt{3} - 1)
E. \frac{x}{2}(\sqrt{2} - 1)
M28-01![]()
A. x(\sqrt{3}- 1)
B. \frac{x}{2}
C. x(\sqrt{2} - 1)
D. \frac{x}{2}(\sqrt{3} - 1)
E. \frac{x}{2}(\sqrt{2} - 1)
M28-01