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Mathematics

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The prisms below are similar. If the volume of the larger prism is 1,029 mm, find the volume of the smaller prism.SA = 80 mmSA = 245 mm

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JahmariI133506 JahmariI133506

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[tex]\begin{gathered} \frac{Vsmaller\text{ prism}}{Vlarger\text{ prism}}=\frac{SAsmaller\text{ prism}}{SAlarger\text{ prism}} \\ \frac{V}{1029}=\frac{80}{245} \\ 245V=80\cdot1029 \\ 245V=82320 \\ \frac{245V}{245}=\frac{82320}{245} \\ V=336 \end{gathered}[/tex]

answer: 336 mm^3

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