u/AbalonePotential6990

Given a prism ABC.A′B′C′ where the side edge AA′=2.cube root of 26

Triangle ABC is right-angled at C with BAC

=60∘. The angle between the side edge BB′ and the base plane (ABC) is 60∘. The orthogonal projection of B′ onto the plane (ABC)coincides with the centroid G of triangle ABC. Calculate the volume of the tetrahedron A′.ABC.