Convert drop to cuo(撮)

Learn how to convert 1 drop to cuo(撮) step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(drop\right)={\color{rgb(20,165,174)} x}\left(cuo(撮)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(drop\right) = {\color{rgb(89,182,91)} 7.78866844846491 \times 10^{-8}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 7.78866844846491 \times 10^{-8}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(cuo(撮)\right) = {\color{rgb(125,164,120)} 10^{-6}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 10^{-6}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(drop\right)={\color{rgb(20,165,174)} x}\left(cuo(撮)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 7.78866844846491 \times 10^{-8}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-6}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 7.78866844846491 \times 10^{-8}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-6}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 7.78866844846491 \times 10^{-8}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-6}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(7.78866844846491 \times 10^{-8} = {\color{rgb(20,165,174)} x} \times 10^{-6}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(7.78866844846491 \times {\color{rgb(255,204,153)} \cancelto{10^{-2}}{10^{-8}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-6}}}\)
\(\text{Simplify}\)
\(7.78866844846491 \times 10^{-2} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 7.78866844846491 \times 10^{-2}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0778866845\approx7.7887 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(drop\right)\approx{\color{rgb(20,165,174)} 7.7887 \times 10^{-2}}\left(cuo(撮)\right)\)

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