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Answer :
Final answer:
The volume of the rectangular prism is 144 in.3, which is calculated by multiplying the volume of the pyramid by 3.
Explanation:
The question involves finding the volume of a rectangular prism when the volume of a congruent pyramid is known. Given that the volume of the pyramid is 48 in.³, and knowing that the volume of a pyramid is one third of the volume of a prism with the same base area and height, we can calculate the volume of the prism. To find the volume of the rectangular prism, you would multiply the volume of the pyramid by 3, since Vprism = 3 × Vpyramid.
Therefore, the volume of the prism is 48 in.³ × 3, which equals 144 in.³. Thus, the correct answer is 144 in.³.
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