To determine which shape has a larger volume, we need to compare the formulas for the volumes of a pyramid and a prism.
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Volume of a Prism: The volume \( V \) of a prism is calculated as: \[ V = \text{Base Area} \times \text{Height} \]
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Volume of a Pyramid: The volume \( V \) of a pyramid is calculated as: \[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
From these formulas, we can see that:
- The volume of a pyramid is \(\frac{1}{3}\) of the volume of a prism with the same base area and height.
- Therefore, if we compare the two, the prism will always have a volume that is three times that of the pyramid for the same base area and height.
Thus, the correct response is:
The prism has a larger volume by three times.