germany-abitur 2021 Q5

germany-abitur · Other · abitur__bayern_geometrie 2 marks Vectors 3D & Lines Volume of a 3D Solid
The points $A ( 6 | 0 | 4 ) , B ( 0 | 6 | 4 ) , C ( - 6 | 0 | 4 )$ and $D$ lie in the plane $E$ and form the vertices of the square base of a pyramid ABCDS with apex $S ( 0 | 0 | 1 )$. $A , B$ and $S$ lie in the plane $F$.
Calculate the volume $V$ of the pyramid ABCDS.
The points $A ( 6 | 0 | 4 ) , B ( 0 | 6 | 4 ) , C ( - 6 | 0 | 4 )$ and $D$ lie in the plane $E$ and form the vertices of the square base of a pyramid ABCDS with apex $S ( 0 | 0 | 1 )$. $A , B$ and $S$ lie in the plane $F$.

Calculate the volume $V$ of the pyramid ABCDS.