To determine which shape has a larger volume and by how much, we need to know the specific dimensions or formulas for calculating the volumes of the pyramid and the prism in question.
However, in general:
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The volume of a rectangular prism can be calculated using the formula: \[ V_{\text{prism}} = \text{length} \times \text{width} \times \text{height} \]
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The volume of a pyramid with the same base area and height as the prism is: \[ V_{\text{pyramid}} = \frac{1}{3} \times \text{base area} \times \text{height} \]
From these formulas, we see that a pyramid will always have a volume that is one-third the volume of a prism with the same base and height.
Given that there are no specific dimensions provided, we can infer the following:
- If the base areas and heights are identical, the prism will have a volume three times greater than that of the pyramid.
Therefore, if the choices you provided are correct interpretations based on those calculations, the correct response would be:
The prism has a larger volume by three times.