MathDB

The height

SO

of a regular quadrangular pyramid

SABCD

forms an angle

60^o

with a side edge , the volume of this pyramid is equal to

18

^3

. The vertex of the second regular quadrangular pyramid is at point

S

, the center of the base is at point

C

, and one of the vertices of the base lies on the line

SO

. Find the volume of the common part of these pyramids. (The common part of the pyramids is the set of all such points in space that lie inside or on the surface of both pyramids).

Problem Statement