Relationship Between Volume of Prisms & Pyramids Quick Check

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Question
There is a rectangular prism and pyramid with congruent bases and height. If the volume of the pyramid is 48 in.3 , what is the volume of the prism?(1 point)
Responses

144 in.3
144 in. cubed

16 in.3
16 in. cubed

24 in.3
24 in. cubed

96 in.3

1 answer

Explanation:
The volume of a pyramid is one-third of the volume of a prism with the same base and height. Therefore, to find the volume of the prism, we would multiply the volume of the pyramid by 3.

48 in.3 (volume of pyramid) x 3 = 144 in.3

Therefore, the volume of the prism is 144 in.3.

Answer: 144 in.3
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