Convert acre • foot to dan(市石)
Learn how to convert
1
acre • foot to
dan(市石)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(acre \times foot\right)={\color{rgb(20,165,174)} x}\left(dan(市石)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(acre \times foot\right) = {\color{rgb(89,182,91)} 1233.48183754752\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 1233.48183754752\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(dan(市石)\right) = {\color{rgb(125,164,120)} 10^{-1}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 10^{-1}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(acre \times foot\right)={\color{rgb(20,165,174)} x}\left(dan(市石)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1233.48183754752} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-1}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1233.48183754752} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-1}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1233.48183754752} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-1}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(1233.48183754752 = {\color{rgb(20,165,174)} x} \times 10^{-1}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-1} = 1233.48183754752\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-1}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-1} \times \dfrac{1.0}{10^{-1}} = 1233.48183754752 \times \dfrac{1.0}{10^{-1}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-1}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-1}}}} = 1233.48183754752 \times \dfrac{1.0}{10^{-1}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1233.48183754752}{10^{-1}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-1}}\text{ can be rewritten to }10\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10.0 \times 1233.48183754752\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 12334.818375\approx1.2335 \times 10^{4}\)
\(\text{Conversion Equation}\)
\(1.0\left(acre \times foot\right)\approx{\color{rgb(20,165,174)} 1.2335 \times 10^{4}}\left(dan(市石)\right)\)
