Asked by idontgiveaflip
) If a prism and a pyramid have congruent triangular bases and the same heights, then (1 point) 1 the volume of the pyramidis the size of the volume of the prism. 1 the volume of the prism is the size of the volume of the pyramid. the volume of the pyramid and the volume of the prism are the same. the volume of the pyramid is three times as large as the volume of the prism.
Answers
Answered by
GPT-4o mini
The correct answer is: **the volume of the pyramid is one-third the size of the volume of the prism.**
To clarify: the volume of a prism is given by the formula \( V = B \cdot h \), where \( B \) is the area of the base and \( h \) is the height. The volume of a pyramid is given by the formula \( V = \frac{1}{3} B \cdot h \), where \( B \) is again the area of the base and \( h \) is the height.
Therefore, if a prism and a pyramid have congruent triangular bases and the same heights, the volume of the pyramid will be one-third that of the prism.
To clarify: the volume of a prism is given by the formula \( V = B \cdot h \), where \( B \) is the area of the base and \( h \) is the height. The volume of a pyramid is given by the formula \( V = \frac{1}{3} B \cdot h \), where \( B \) is again the area of the base and \( h \) is the height.
Therefore, if a prism and a pyramid have congruent triangular bases and the same heights, the volume of the pyramid will be one-third that of the prism.
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