Convert rood to linear inch
Learn how to convert
1
rood to
linear inch
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(rood\right)={\color{rgb(20,165,174)} x}\left(linear \text{ } inch\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(rood\right) = {\color{rgb(89,182,91)} 3.7783\left(meter\right)} = {\color{rgb(89,182,91)} 3.7783\left(m\right)}\)
\(\text{Right side: 1.0 } \left(linear \text{ } inch\right) = {\color{rgb(125,164,120)} 0.0254\left(meter\right)} = {\color{rgb(125,164,120)} 0.0254\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(rood\right)={\color{rgb(20,165,174)} x}\left(linear \text{ } inch\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.7783} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 0.0254}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.7783} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 0.0254} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.7783} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 0.0254} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(3.7783 = {\color{rgb(20,165,174)} x} \times 0.0254\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 0.0254 = 3.7783\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{0.0254}\right)\)
\({\color{rgb(20,165,174)} x} \times 0.0254 \times \dfrac{1.0}{0.0254} = 3.7783 \times \dfrac{1.0}{0.0254}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.0254}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.0254}}} = 3.7783 \times \dfrac{1.0}{0.0254}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.7783}{0.0254}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx148.7519685\approx1.4875 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(rood\right)\approx{\color{rgb(20,165,174)} 1.4875 \times 10^{2}}\left(linear \text{ } inch\right)\)
