<p>Three balls of masses&nbsp; 1 kg, 4 kg&nbsp; and&nbsp; 6 kg respectively are arranged at centre of the edges of an equilateral triangle of side 2m . The moment of inertia of the system about an axis through the centroid and perpendicular to the plane of triangle, will be ________ kg&nbsp;<span class="equation">\(m^2\)</span>​​​​​​​</p>