Finding the Height of an Inscribed Sphere in a Right Triangular Prism
The height of a right triangular prism that can inscribe a sphere is equal to half the length of the cube's diagonal.
Using the Pythagorean theorem, we can find that the length of the cube's diagonal is equal to 2√3. Therefore, the height of the prism would be 1√3 or approximately 1.73 units.