Sphere vs Cube: Rotational Inertia

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PhysicsKid0123
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Which would have more rotational inertia? A sphere or cube?
Suppose they have the same mass, the side of the cube has the same length as the diameter of the sphere, the cube's rotation axis is perpendicular to two of its faces. Which one would have more rotational inertia about an axis through the center of mass?
 

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Ya know, you can look this stuff up.
 
What about the explanation/theory?
 

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