Convert square mil to square inch
Learn how to convert
1
square mil to
square inch
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(square \text{ } mil\right)={\color{rgb(20,165,174)} x}\left(square \text{ } inch\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(square \text{ } mil\right) = {\color{rgb(89,182,91)} 6.4516 \times 10^{-10}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 6.4516 \times 10^{-10}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(square \text{ } inch\right) = {\color{rgb(125,164,120)} 6.45162590802601 \times 10^{-4}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 6.45162590802601 \times 10^{-4}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(square \text{ } mil\right)={\color{rgb(20,165,174)} x}\left(square \text{ } inch\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 6.4516 \times 10^{-10}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 6.45162590802601 \times 10^{-4}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 6.4516 \times 10^{-10}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 6.45162590802601 \times 10^{-4}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 6.4516 \times 10^{-10}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 6.45162590802601 \times 10^{-4}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(6.4516 \times 10^{-10} = {\color{rgb(20,165,174)} x} \times 6.45162590802601 \times 10^{-4}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(6.4516 \times {\color{rgb(255,204,153)} \cancelto{10^{-6}}{10^{-10}}} = {\color{rgb(20,165,174)} x} \times 6.45162590802601 \times {\color{rgb(255,204,153)} \cancel{10^{-4}}}\)
\(\text{Simplify}\)
\(6.4516 \times 10^{-6} = {\color{rgb(20,165,174)} x} \times 6.45162590802601\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 6.45162590802601 = 6.4516 \times 10^{-6}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{6.45162590802601}\right)\)
\({\color{rgb(20,165,174)} x} \times 6.45162590802601 \times \dfrac{1.0}{6.45162590802601} = 6.4516 \times 10^{-6} \times \dfrac{1.0}{6.45162590802601}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{6.45162590802601}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{6.45162590802601}}} = 6.4516 \times 10^{-6} \times \dfrac{1.0}{6.45162590802601}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{6.4516 \times 10^{-6}}{6.45162590802601}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.000001\approx10 \times 10^{-7}\)
\(\text{Conversion Equation}\)
\(1.0\left(square \text{ } mil\right)\approx{\color{rgb(20,165,174)} 10 \times 10^{-7}}\left(square \text{ } inch\right)\)
