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olga_2 [115]
3 years ago
6

A caterer has 56 liters of punch to use for a upcoming event. The foundation for the punch has the capacity measurements in gall

ons rather than liters. Conversion of liters to gallons is 0.2642. Estimate how many gallons of punch the caterer can fill the fountain with.
Mathematics
1 answer:
BARSIC [14]3 years ago
6 0
Drdrdfdfdfdfdfdfdfdf
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The pair of square pyramids are similar. Use the given information to find the scale factor of the smaller square pyramid to the
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\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------

\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}}\\\\
-------------------------------\\\\
\stackrel{\stackrel{pyramids}{scale~factor}}{\cfrac{small}{large}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{64}}{\sqrt[3]{343}}\implies \cfrac{s}{s}=\cfrac{4}{7}\implies 4:7
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Step-by-step explanation:

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