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They need text here so it doesn't look like spam or something - problem in image bellow

 Apr 21, 2020
 #1
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volume of pyramid   =   (1/3) * (area of base) * (height)

 

The base of this pyramid is a 10 in by 10 in square.

 

area of base   =   10 in  *  10 in   =   100 in2

 

To find the height, let's look at this triangle:

 

 

By the Pythagorean theorem,

 

h2 + (5 in)2   =   (13 in)2

 

h2   =   (13 in)2  -  (5 in)2

 

h2   =   169 in2  -  25 in2

 

h2   =   144 in2

 

h   =   12 in

 

So the height of the pyramid is  12 in.

 

Now we can find the volume of the pyramid.

 

volume of pyramid   =   (1/3) * (area of base) * (height)

 

volume of pyramid   =   (1/3) * ( 100 in2 ) * ( 12 in )

 

volume of pyramid   =   400 in3

 Apr 21, 2020

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