Convert noggin to cubic yard
Learn how to convert
1
noggin to
cubic yard
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(noggin\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } yard\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(noggin\right) = {\color{rgb(89,182,91)} 1.420653125 \times 10^{-4}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.420653125 \times 10^{-4}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(cubic \text{ } yard\right) = {\color{rgb(125,164,120)} 7.64554857984 \times 10^{-1}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 7.64554857984 \times 10^{-1}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(noggin\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } yard\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.420653125 \times 10^{-4}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 7.64554857984 \times 10^{-1}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.420653125 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 7.64554857984 \times 10^{-1}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.420653125 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 7.64554857984 \times 10^{-1}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(1.420653125 \times 10^{-4} = {\color{rgb(20,165,174)} x} \times 7.64554857984 \times 10^{-1}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(1.420653125 \times {\color{rgb(255,204,153)} \cancelto{10^{-3}}{10^{-4}}} = {\color{rgb(20,165,174)} x} \times 7.64554857984 \times {\color{rgb(255,204,153)} \cancel{10^{-1}}}\)
\(\text{Simplify}\)
\(1.420653125 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times 7.64554857984\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 7.64554857984 = 1.420653125 \times 10^{-3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{7.64554857984}\right)\)
\({\color{rgb(20,165,174)} x} \times 7.64554857984 \times \dfrac{1.0}{7.64554857984} = 1.420653125 \times 10^{-3} \times \dfrac{1.0}{7.64554857984}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{7.64554857984}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{7.64554857984}}} = 1.420653125 \times 10^{-3} \times \dfrac{1.0}{7.64554857984}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.420653125 \times 10^{-3}}{7.64554857984}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0001858144\approx1.8581 \times 10^{-4}\)
\(\text{Conversion Equation}\)
\(1.0\left(noggin\right)\approx{\color{rgb(20,165,174)} 1.8581 \times 10^{-4}}\left(cubic \text{ } yard\right)\)
