Convert tun to drop

Learn how to convert 1 tun to drop step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(tun\right)={\color{rgb(20,165,174)} x}\left(drop\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(tun\right) = {\color{rgb(89,182,91)} 9.53923769568 \times 10^{-1}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 9.53923769568 \times 10^{-1}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(drop\right) = {\color{rgb(125,164,120)} 5.0 \times 10^{-8}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 5.0 \times 10^{-8}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(tun\right)={\color{rgb(20,165,174)} x}\left(drop\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 9.53923769568 \times 10^{-1}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 5.0 \times 10^{-8}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 9.53923769568 \times 10^{-1}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 5.0 \times 10^{-8}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 9.53923769568 \times 10^{-1}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 5.0 \times 10^{-8}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(9.53923769568 \times 10^{-1} = {\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-8}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(9.53923769568 \times {\color{rgb(255,204,153)} \cancel{10^{-1}}} = {\color{rgb(20,165,174)} x} \times 5.0 \times {\color{rgb(255,204,153)} \cancelto{10^{-7}}{10^{-8}}}\)
\(\text{Simplify}\)
\(9.53923769568 = {\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-7}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-7} = 9.53923769568\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{5.0 \times 10^{-7}}\right)\)
\({\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-7} \times \dfrac{1.0}{5.0 \times 10^{-7}} = 9.53923769568 \times \dfrac{1.0}{5.0 \times 10^{-7}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{5.0}} \times {\color{rgb(99,194,222)} \cancel{10^{-7}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{5.0}} \times {\color{rgb(99,194,222)} \cancel{10^{-7}}}} = 9.53923769568 \times \dfrac{1.0}{5.0 \times 10^{-7}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{9.53923769568}{5.0 \times 10^{-7}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-7}}\text{ can be rewritten to }10^{7}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{7} \times 9.53923769568}{5.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx19078475.391\approx1.9078 \times 10^{7}\)
\(\text{Conversion Equation}\)
\(1.0\left(tun\right)\approx{\color{rgb(20,165,174)} 1.9078 \times 10^{7}}\left(drop\right)\)

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