`I_d = m /12( w ^2+ h ^2)`

Enter a value for all fields

The Moment of Inertia for a Solid Cuboid (I_d) calculator computes the moment of an inertia of the cuboid with the axis of rotation through the middle of the solid cuboid (see picture).

INSTRUCTIONS: Choose units and enter the following:

• (m)  Mass of Cuboid.
• (d)  Depth of Cuboid
• (h)  Height of Cuboid

Cuboid Moment of Inertial (I_d):  The calculator returns the moment of inertia in kg*m².  However, this can be automatically converted to compatible units via the pull-down menu.

Related Cuboid Calculators

• Compute the Moment of Inertia for a Solid Cuboid (I_h)
• Compute the Moment of Inertia for a Solid Cuboid (I_w)
• Compute the Moment of Inertia for a Solid Cuboid (I_d)
• Compute the Volume of a Cuboid
• Compute the Mass of a Cuboid
• Compute the Surface Area of a Cuboid
• Compute the Diagonal of a Cuboid

The Math / Science

The formulas for the moments of inertia of a solid cuboid are as follows:

• I_h=m/12(w²+d²) 
• I_w=m/12(d²+h²)
• I_d=m/12(w²+h²)

where:

• m = mass
• d = depth
• h = height

References

The formula and equation for Moment of Inertia are from Wikipedia (https://en.wikipedia.org/wiki/List_of_moments_of_inertia).