Problem $09\mathrm{.}137-$ Mass moment of inertia of bodies formed of sheet metal

A $4\mathrm{.}500$ mm thick piece of sheet steel is cut and bent into the machine component shown. Knowing that the density of steel is $7850k\frac{g}{m^3},$ determine the mass moment of inertia of the component with respect to each of the coordinate axes.

The mass moment of inertia $I_x$ is ${10}^{-3}kg*m^2.($Round the final answer to three decimal places.$)$

The mass moment of inertia $I_y$ is ${10}^{-3}kg*m^2.$

The mass moment of inertia $I_z$ is ${10}^{-3}kg*m^2.($Round the final answer to three decimal places.$)$