The ratio of the volume of a pyramid to the volume of a prism with the same base and height is 1 to 3; the formula for the volume of a pyramid is V = 1/3Bh.
<h3> Volume of pyramid</h3>
Volume of prism, V = Bh
Volume of pyramid, V = 1/3Bh
where,
B = the area of the base and
h = the height
Volume of prism : Volume of pyramid
Bh : 1/3Bh
Therefore, the ratio of the volume of a pyramid to the volume of a prism with the same base and height is 1 to 3.