Convert fang zhang(方丈) to square chain
Learn how to convert
1
fang zhang(方丈) to
square chain
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(fang \text{ } zhang(方丈)\right)={\color{rgb(20,165,174)} x}\left(square \text{ } chain\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(fang \text{ } zhang(方丈)\right) = {\color{rgb(89,182,91)} \dfrac{10^{2}}{9.0}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{10^{2}}{9.0}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(square \text{ } chain\right) = {\color{rgb(125,164,120)} 404.68564224\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 404.68564224\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(fang \text{ } zhang(方丈)\right)={\color{rgb(20,165,174)} x}\left(square \text{ } chain\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{2}}{9.0}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 404.68564224}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{10^{2}}{9.0}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 404.68564224} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{2}}{9.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 404.68564224} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{10^{2}}{9.0} = {\color{rgb(20,165,174)} x} \times 404.68564224\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 404.68564224 = \dfrac{10^{2}}{9.0}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{404.68564224}\right)\)
\({\color{rgb(20,165,174)} x} \times 404.68564224 \times \dfrac{1.0}{404.68564224} = \dfrac{10^{2}}{9.0} \times \dfrac{1.0}{404.68564224}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{404.68564224}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{404.68564224}}} = \dfrac{10^{2} \times 1.0}{9.0 \times 404.68564224}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{2}}{9.0 \times 404.68564224}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0274561535\approx2.7456 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(fang \text{ } zhang(方丈)\right)\approx{\color{rgb(20,165,174)} 2.7456 \times 10^{-2}}\left(square \text{ } chain\right)\)
