+256 They need text here so it doesn't look like spam or something - problem in image bellow
+9479 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
