Convert cubic meter to acre • foot
Learn how to convert
1
cubic meter to
acre • foot
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(cubic \text{ } meter\right)={\color{rgb(20,165,174)} x}\left(acre \times foot\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(cubic \text{ } meter\right) = {\color{rgb(89,182,91)} 1.0\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.0\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(acre \times foot\right) = {\color{rgb(125,164,120)} 1233.48183754752\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 1233.48183754752\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(cubic \text{ } meter\right)={\color{rgb(20,165,174)} x}\left(acre \times foot\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1233.48183754752}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1233.48183754752} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.0} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1233.48183754752} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 1233.48183754752\)
\(\text{Simplify}\)
\(1.0 = {\color{rgb(20,165,174)} x} \times 1233.48183754752\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1233.48183754752 = 1.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1233.48183754752}\right)\)
\({\color{rgb(20,165,174)} x} \times 1233.48183754752 \times \dfrac{1.0}{1233.48183754752} = 1.0 \times \dfrac{1.0}{1233.48183754752}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1233.48183754752}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1233.48183754752}}} = 1.0 \times \dfrac{1.0}{1233.48183754752}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.0}{1233.48183754752}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0008107132\approx8.1071 \times 10^{-4}\)
\(\text{Conversion Equation}\)
\(1.0\left(cubic \text{ } meter\right)\approx{\color{rgb(20,165,174)} 8.1071 \times 10^{-4}}\left(acre \times foot\right)\)
