A cube with volume 8 cubic centimeters is inscribed in a sphere so that each vertex of the cube touches the sphere. What is the length of the diameter, in centimeters, of the sphere?
Made progress: Volume of cube = . Then . A diameter is the longest line segment that can be drawn in a circle.
Since this is a cube, the diagonal forms a rectangular prism. Correct? How do I find the length of a diagonal in a rectangular prism, thus finding the length of the diameter?