we know that one angle is \(30^\circ\) and another is \(90^\circ\) and the sum of all the angles in a triangle is \(180^\circ\) so we know that the third angle = 180 - 30 - 90 = \(60^\circ\) and so the triangle is a 30-60-90 degree triangle and since \(\overline{CA}\)= 6 then \(\overline{CB} = \overline{CA} \cdot 2=12 ~ and~ \overline{AB} = \overline{CA}\sqrt{3} = 6\sqrt3\) and the area is \(\frac{6\cdot6\sqrt{3}}{2}=\frac{6\cdot6\cdot\sqrt{3}}{2}=\frac{36\sqrt3}{2}=\boxed{18\sqrt3}\)
Maybe the moderator thinks you are not really answering the question?
well the question asks what the solid is
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Am I right?
I'm really sure this is right