The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height
Explanation:
The volume of a square pyramid is given by the formula
V = 1/3 s^2 h
where s is the side length of the base
The volume of a square prism given by the formula
V = s^2 h
where s is the side length of the base
So dividing the two, taking the pyramid on top
1/3 s^2 h
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s^2 h
If the bases are the same, then the side lengths are the same and we know the heights are the same. We will cancel them from the top and the bottom.
1/3
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1
The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height