Mass moment of inertia of a cuboid

Calculates the mass moment of inertia of a solid cuboid.
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