Find the volume of a polyhedron whose vertices are points A, B, C, D, B, F, B1 of the regular hexagonal

Find the volume of a polyhedron whose vertices are points A, B, C, D, B, F, B1 of the regular hexagonal prism ABCDEFA1B1C1D1, E1, F1, the base area of which is 6, and the lateral edge is 6.

1. To solve this problem, we need knowledge of the prism volume formula:

The volume of the prism through the base area and height:

V = Sosn * H;

Prism bases are two faces that are equal parallel planar polygons.

2. Now let us substitute the available values such as Sbase = 6 cm ^ 2, H = 8 cm, into the formula for the volume of the prism, then we get:

V = Ssc * H = 6 cm ^ 2 * H = 6 cm ^ 2 * 6 cm = 36 cm ^ 3.

Answer: the volume of the prism is 36 cm ^ 3.