# Let's try some geometry

Geometry Level 3

$$S.ABCD$$ is a pyramid with $$S$$ is the apex. The base $$ABCD$$ is a square. The face $$SAB$$ is an isosceles triangle with $$SA=SB$$. $$(SAB)\bot (ABCD)$$. The angle between plane $$(SCD)$$ and plane $$(ABCD)$$ is $${60}^{o}$$. The distance between plane $$(SCD)$$ and straight line $$AB$$ is $$3$$. What is the volume of the pyramid $$S.ABCD$$?

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