Convert column inch to shed
Learn how to convert
1
column inch to
shed
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(column \text{ } inch\right)={\color{rgb(20,165,174)} x}\left(shed\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(column \text{ } inch\right) = {\color{rgb(89,182,91)} 1.331 \times 10^{-3}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.331 \times 10^{-3}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(shed\right) = {\color{rgb(125,164,120)} 10^{-52}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 10^{-52}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(column \text{ } inch\right)={\color{rgb(20,165,174)} x}\left(shed\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.331 \times 10^{-3}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-52}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.331 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-52}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.331 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-52}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(1.331 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times 10^{-52}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(1.331 \times {\color{rgb(255,204,153)} \cancel{10^{-3}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancelto{10^{-49}}{10^{-52}}}\)
\(\text{Simplify}\)
\(1.331 = {\color{rgb(20,165,174)} x} \times 10^{-49}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{-49} = 1.331\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{-49}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{-49} \times \dfrac{1.0}{10^{-49}} = 1.331 \times \dfrac{1.0}{10^{-49}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-49}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-49}}}} = 1.331 \times \dfrac{1.0}{10^{-49}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.331}{10^{-49}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-49}}\text{ can be rewritten to }10^{49}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{49} \times 1.331\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 1.331 \times 10^{49}\)
\(\text{Conversion Equation}\)
\(1.0\left(column \text{ } inch\right) = {\color{rgb(20,165,174)} 1.331 \times 10^{49}}\left(shed\right)\)
