Let \(ABCDEFGH\) be a rectangular prism, where \(EF = 4\), \(EH = 5\), and \(EA = 6\). Find the volume of pyramid \(CFAH\).
Thank you!
The volume of a pyramid is (1/3)·(area of the base)·(height).
The base is triangle(AEH)
-- the area of this triangle is one-half the area of rectangle(ADHE)
-- the area of rectangle(ADHE) = 6·5 = 30
-- so the aea of triangle(AEH) = 15
The height is FE = 4
So, the volume of he pyramid = (1/3)·(15)·(4) = 20