Answer:
(A) Three times and (B)
Step-by-step explanation:
Consider prism and a pyramid with the same base and height.
The volume of the prism is three times the volume of the Pyramid, thus let the volume of pyramid be P, then according to this statement,
[tex]V=3P[/tex]
Now, formula for the volume of prism that is [tex]V[/tex] is:
[tex]V=Bh[/tex]
Thus, substituting the value of V in the above equation, we get
[tex]Bh=3P[/tex]
⇒[tex]P=\frac{1}{3}Bh[/tex]
where P is the volume of pyramid.
Thus, volume of Pyramid is [tex]\frac{1}{3}Bh[/tex].
Now, Consider prism and a pyramid with the same base and height. The volume of prism is three times the volume of Pyramid. The formula for the volume of prism is [tex]V=Bh[/tex], where B is the area of the base and h is the height, so the formula for the volume of pyramid is [tex]\frac{1}{3}Bh[/tex].
