# Mass moment of inertia of a cuboid

`I_h = 1/12*m*(w^2+d^2)` (about central axis along height)

`I_w=1/12*m*(h^2+d^2)` (about central axis along width)

`I_d= 1/12*m*(h^2+w^2)` (about central axis along depth)

Enter 'x' in the field to be calculated.

Here are used formulas to calculate the mass moment of inertia of a solid cuboid about different axis.

Case of a rotation about the central axis at center of the cuboid along its height (z-axis on above diagram),

`I_h = 1/12*m*(w^2+d^2)`

Case of a rotation about the central axis at center of the cuboid along its width (x-axis on above diagram),

`I_w = 1/12*m*(h^2+d^2)`

Case of a rotation about the central axis at center of the cuboid along its depth (y-axis on above diagram),

`I_d = 1/12*m*(h^2+w^2)`

m : mass of the cuboid in kilogram (kg)

h : height in meter (m)

w : width in meter (m)

d : depth in meter (m)

## See also

Mass moment of inertia Calculators

Convert mass units

Convert distance units

Convert units of mass moment of inertia

Physics Calculators