Let \(ABCDEFGH\) be a rectangular prism, where \(EF = 4\), \(EH = 5\), and \(EA = 6\). Find the volume of pyramid \(CFAH\).

Thank you!

Guest Apr 17, 2020

#1**+1 **

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

geno3141 Apr 17, 2020