Puzzle of the Week #128 - Five Cuboids in a Sphere

Fit five cuboids into a sphere of radius 1.

What is the greatest combined volume you can achieve?

Similarly to the Three Rectangles in a Circle puzzle a couple of weeks ago, you’ll find that a great deal of symmetry will help to maximize the volume. Again of course, the answer is not an integer, so I'll be happy to accept an answer to one decimal place.

Good luck!