Compare the volume of a square pyramid to the volume of a square prism with the same base and height as the pyramid.

The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height

Step-by-step 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

 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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The Volume of the square pyramid is 1/3 the volume of a square prism with the same base and height

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