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Okay so this is for my portfolio. I have two figures; a rectangular prism (think cereal box) and a cylinder. Is it possible for the cylinder to have a larger VOLUME than the prism, but a smaller measurement of cubic inches?? (Please say yes )

User Deif
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2 Answers

4 votes

Answer:

no TWT

Explanation:

Because these solids have the same height and the same cross-sectional areas at every level, the solids have the same volume due to Cavalieri's principle. The volume of the prism is: V = A B a s e ⋅ h = π r 2 h Therefore, the volume of the cylinder is: V = π r 2 h This should make sense because a cylinder is essentially a circular prism. Also Its cool that we both go to Connexus, i saw it from an old post of yours <3

User Sujal Patel
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8.7k points
2 votes

Explanation:

No, it is not possible. Cubic inches are a measurement of volume. If the cylinder has a larger volume, then it also has more cubic inches.

User Anand Khanpara
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8.0k points

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