Mathematics, 31.01.2020 11:47 Arealbot
If the ratio of the sides of two similar prisms is 3: 5 and the volume of the first prism is 54, what is the volume of the second prism?
Answers: 3
![\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{s^3}{s^3}=\cfrac{\textit{volume of smaller}}{\textit{volume of larger}}\implies \cfrac{3^3}{5^3}=\cfrac{54}{v} \\\\\\ v=\cfrac{5^3\cdot 54}{3^3}](/tpl/images/0489/6166/8d67f.png)
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If the ratio of the sides of two similar prisms is 3: 5 and the volume of the first prism is 54, wha...
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