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

 Jun 26, 2020
 #1
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Area of the base:        A = 6 * 5 /2  = 15

 

Height:            h = 4

 

V = Ah/3 = 20 u3

 Jun 26, 2020
 #2
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Let ABCDEFGH be a rectangular prism, where EF = 4, EH = 5, and EA = 6. Find the volume of the pyramid CFAH.

 

All the sides (including the base) are congruent.

 

The lengths of the sides are:    ( ≈ )    6.403,     7.211,     and      7.81

 

Area of the base                A ≈ 21.6564 u2

 

Height of the pyramid         h ≈ 5.5456

 

The volume of the pyramid CFAH             V = 1/3 * Ah ≈ 40.033 u3   indecision

 

 Jun 26, 2020

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