# Formula Cuboid with Axis of Rotation Through the Center Point Moment of inertia    Mass    Width    Length

## Moment of inertia

Unit
According to $$M ~=~ I \, \alpha$$ ($$\alpha$$: angular acceleration), the moment of inertia determines how hard it is to generate a torque $$M$$ on the body. Moment of inertia $$I$$ depends on the mass distribution and on the choice of the axis of rotation. Here we calculate the moment of inertia of a cuboid whose axis of rotation passes through its center.

## Mass

Unit
Homogeneously distributed total mass of the cuboid.

## Width

Unit
Width of the cuboid. When the width is doubled, the moment of inertia is quadrupled.

## Length

Unit
Length of the cuboid. If the length is doubled, the moment of inertia is quadrupled.