Suppose that we have a cuboid with dimensions a=20cm, b=30cm, c=50cm and density ρ=620kg⋅m−3. One of its faces with dimensions a and c is lying on a horizontal surface in a homogeneous gravitational field. How stable is it with respect to rotation around one of its bottom edges with length c? Find the smallest amount of energy needed to turn it over. Assume g=9.81m⋅s−2.