A rod of mass $\mathrm{M}\mathrm{ }\mathrm{k}\mathrm{g}$ and length $\mathrm{L}$ metre is bent in the form of an equilateral triangle. The moment of inertia of triangle about a vertical axis to perpendicular to the plane of triangle and passing through the centre (in units of $\mathrm{k}\mathrm{g }{\mathrm{m}}^2$ ) is