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Let ABCDEFGH be a rectangular prism, where EF = 4, EH = 15, and EA = 6. Find the volume of pyramid CFAH.

 

 Jun 22, 2021
 #1
avatar+121000 
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I believe  we  have  a oblique  pyramid.....

 

Its volume  is  (1/3) (1/2)  [ AEHD ]  ( EF )   =

 

(1/6)  [  15 * 6  ]  (4)     = 

 

60  units^3 

 

 

cool cool cool

 Jun 22, 2021
edited by CPhill  Jun 22, 2021
 #2
avatar+1425 
+3

Let ABCDEFGH be a rectangular prism, where EF = 4, EH = 15 (?), and EA = 6. Find the volume of pyramid CFAH.

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Prism volume = (EF)(EH)(EA) = 360 u3

 

There are 5 pyramids of which 4 have a volume of 60 u3 each.

 

The volume of pyramid CFAH = 360 - (4 * 60) = 120 u3

 

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If EH = 5 then the volume of a pyramid CFAH = 40 u3

 Jun 22, 2021

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