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A pyramid with a triangular base has a volume equal to 192 cm³. What would be the volume of a prism with the same measures?

A) 64 cm³
B) 192 cm³
C) 384 cm³
D) 576 cm³

1 Answer

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Final answer:

The volume of a prism with the same triangular base and height as a pyramid with a volume of 192 cm³ would be three times greater, hence the volume of the prism is 576 cm³.

Step-by-step explanation:

The question is asking about the comparison in volume between a pyramid with a triangular base and a prism with the same base and height dimensions. The volume of a pyramid is one third of the product of its base area and height. Since a prism with the same base and height would have three times the volume of the pyramid, the volume of the prism would be 192 cm³ times 3, which equals 576 cm³. Therefore, the correct answer is D) 576 cm³.

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