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The volume of a pyramid is one-third the volume of a prism with the same base and height. Because the formula for the volume of a prism is [tex]V=Bh[/tex], where [tex]B[/tex] is the area of the base and [tex]h[/tex] is the height, the formula for the volume of a pyramid is [tex]\boxed{V=\frac{1}{3}Bh}[/tex]