The ratio of the volume of the pyramid to the volume of the prism is 1:1
Volume of pyramid and prism
The formula for calculating the volume of a pyramid is expressed as;
V = 1/3 BH
The formula for calculating the volume of prism is expressed as:
V = Bh
where
B is the base area
H is the height
If the height of pyramid is three times the height of the prism, the volume of pyramis will be:
V = 1/3B * 3h
Take the ratio of their volumes
Vp/Vr = 3Bh/3Bh
Vp/Vr = 1 : 1
Hence the ratio of the volume of the pyramid to the volume of the prism is 1:1
Learn more on volume of pyramid and prism here: https://brainly.com/question/1366127
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