Let `G_(1),G_(2),G_(3)` be the centroids of the triangular faces `OBC, OCA, OAB` of a tetrahedron `OABC`. If `V_(1)` denote the volume of the tetrahedron `OABC` and `V_(2)` that of the parallelopiped with `OG_(1),OG_(2),OG_(3)` as three concurrent edges, then

Let G_(1),G_(2),G_(3) be the centroids of the triangular faces OBC, OCA, OAB of a tetrahedron OABC. If V_(1) denotes the volume of the tetrahedron OABC and V_(2) denotes the volume of the paralellopiped with OG_(1),OG_(2)OG_(3) as three concurrent edges then

Let G_(1), G(2) and G_(3) be the centroid of the triangular faces OBC, OCA and OAB of a tetrahedron OABC. If V_(1) denotes the volume of tetrahedron OABC and V_(2) that of the parallelepiped with OG_(1), OG_(2) and OG_(3) as three concurrent edges, then the value of (4V_(1))/(V_2) is (where O is the origin

Let G_(1), G(2) and G_(3) be the centroid of the triangular faces OBC, OCA and OAB of a tetrahedron OABC. If V_(1) denotes the volume of tetrahedron OABC and V_(2) that of the parallelepiped with OG_(1), OG_(2) and OG_(3) as three concurrent edges, then the value of (4V_(1))/(V_2) is (where O is the origin

Let G_(1), G(2) and G_(3) be the centroid of the triangular faces OBC, OCA and OAB of a tetrahedron OABC. If V_(1) denotes the volume of tetrahedron OABC and V_(2) that of the parallelepiped with OG_(1), OG_(2) and OG_(3) as three concurrent edges, then the value of (4V_(1))/(V_2) is (where O is the origin

Let G_(1), G(2) and G_(3) be the centroid of the triangular faces OBC, OCA and OAB of a tetrahedron OABC. If V_(1) denotes the volume of tetrahedron OABC and V_(2) that of the parallelepiped with OG_(1), OG_(2) and OG_(3) as three concurrent edges, then the value of (4V_(1))/(V_2) is (where O is the origin

Let G_(1),G_(2) and G_(3) be the centroids of the trianglular faces OBC,OCA and OAB, respectively, of a tetrahedron OABC. If V_(1) denotes the volume of the tetrahedron OABC and V_(2) that of the parallelepiped with OG_(1),OG_(2) and OG_(3) as three concurrent edges, then prove that 4V_(1)=9V_(2) .

Let G_(1),G_(2) and G_(3) be the centroids of the trianglular faces OBC,OCA and OAB, respectively, of a tetrahedron OABC. If V_(1) denotes the volume of the tetrahedron OABC and V_(2) that of the parallelepiped with OG_(1),OG_(2) and OG_(3) as three concurrent edges, then prove that 4V_(1)=9V_(2) .

Let G_(1),G_(2) and G_(3) be the centroids of the trianglular faces OBC,OCA and OAB, respectively, of a tetrahedron OABC. If V_(1) denotes the volume of the tetrahedron OABC and V_(2) that of the parallelepiped with OG_(1),OG_(2) and OG_(3) as three concurrent edges, then prove that 4V_(1)=9V_(1) .

Let G_1, G_2a n dG_3 be the centroids of the triangular faces O B C ,O C Aa n dO A B , respectively, of a tetrahedron O A B Cdot If V_1 denotes the volumes of the tetrahedron O A B Ca n dV_2 that of the parallelepiped with O G_1,O G_2a n dO G_3 as three concurrent edges, then prove that 4V_1=9V_2dot

Let G_1, G_2a n dG_3 be the centroids of the triangular faces O B C ,O C Aa n dO A B , respectively, of a tetrahedron O A B Cdot If V_1 denotes the volumes of the tetrahedron O A B Ca n dV_2 that of the parallelepiped with O G_1,O G_2a n dO G_3 as three concurrent edges, then prove that 4V_1=9V_2dot