Question

what is the moment of inertia of a cube about its diagonal?

Joshi sir comment

Moment of inertia of a cube about a line perpendicular to its one face and passing through its centre is ma2/6 so about diagonal inertia = l2Ix+m2Iy+n2Iz  = (l2+m2+n2)Ix    (here Ix=Iy=Iz) = Ix  = ma2/6 l,m,n are direction cosines of three lines passing througe centre of cube and perpendicular to each other

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