Find the volume of an octahedron whose edge is 3 √2.

As we know from the school curriculum in geometry, the volume of such a geometric figure can be calculated by the formula:

1/3 * √2 * a ^ 3, where it expresses, respectively, the length of the edge of this octahedron.

Let us determine how many cubic conventional units will express the volume of our geometric figure, when from the condition of the task we know that the length of the edge of the octahedron is equal to 3√2 conventional units:

1/3 * √2 * (3√2) ^ 3 = 1/3 * √2 * 54√2 = 36.

Answer: Under these initial conditions, the volume is 36 cubic conventional units.