If we know that the lengths of all sides of a tetrahedron ABCD are a and the points E and F are in BC ad respectively, then the vector ae.af Value of

If we know that the lengths of all sides of a tetrahedron ABCD are a and the points E and F are in BC ad respectively, then the vector ae.af Value of

It is known that there are four points a, B, C and D on the sphere with radius 2. If AB = CD = 2, the maximum volume of the tetrahedral ABCD is ()
A. 233B. 433C. 23D. 833

If the distance from point P to CD is h, then there is v tetrahedron ABCD = 13 × 2 × 12 × 2 × H = 23h. When the diameter passes through the midpoint of AB and CD, Hmax = 222 − 12 = 23, so Vmax = 433

It is known that there are four points a, B, C and D on the sphere with radius 2. If AB = CD = 2, the maximum volume of the tetrahedral ABCD is ()
A. 233B. 433C. 23D. 833

If the distance from point P to CD is h, then there is v tetrahedron ABCD = 13 × 2 × 12 × 2 × H = 23h. When the diameter passes through the midpoint of AB and CD, Hmax = 222 − 12 = 23, so Vmax = 433

If AB is 6 and CD is 8, what is the maximum volume of the tetrahedral ABCD?

When the distance d between AB and CD is the maximum, and ab ⊥ CD, the volume of the tetrahedral ABCD is 6 * 8 * D * sin θ / 6, the distance og from the center O to AB is 4, the distance Oh from the center O to CD is 3, the maximum D is 4 + 3 = 7, the maximum sin θ is 1, and the maximum volume of the tetrahedral ABCD is 6 * 8 * D * sin θ / 6 = 56