real analysis – Find the inertial moment

Calculate the inertial moments
$$I_x$$, $$I_y$$, $$I_z$$ respect of the coordenate planes of one homemogenius solid $$T$$ given by
$$(frac{x^2 } {a^2 }+ frac{y^2 } {b^2 } +frac{z^2 } {c^2 })^2 =frac{x^2 } {a^2 } +frac{y^2 } {b^2 }-frac{z^2 } {c^2 }$$.where $$a, b, c>0$$.

My book defines
$$I_x=int int int_W (x^2 +y^2 ) delta dxdydz$$ where $$delta$$ is the density in each point of the solid $$W$$
I can’t visualize $$T$$, the first thing that I think can be useful is a coordinate change given by $$x=au$$, $$y=bv$$, $$z=cw$$.
Is my idea right?
Any help will be appreciated and useful.