Convert fluid scruple to ton
Learn how to convert
1
fluid scruple to
ton
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(fluid \text{ } scruple\right)={\color{rgb(20,165,174)} x}\left(ton\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(fluid \text{ } scruple\right) = {\color{rgb(89,182,91)} 1.18387760416667 \times 10^{-6}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.18387760416667 \times 10^{-6}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(ton\right) = {\color{rgb(125,164,120)} 1.13267386368\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 1.13267386368\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(fluid \text{ } scruple\right)={\color{rgb(20,165,174)} x}\left(ton\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.18387760416667 \times 10^{-6}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.13267386368}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.18387760416667 \times 10^{-6}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.13267386368} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.18387760416667 \times 10^{-6}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.13267386368} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(1.18387760416667 \times 10^{-6} = {\color{rgb(20,165,174)} x} \times 1.13267386368\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1.13267386368 = 1.18387760416667 \times 10^{-6}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1.13267386368}\right)\)
\({\color{rgb(20,165,174)} x} \times 1.13267386368 \times \dfrac{1.0}{1.13267386368} = 1.18387760416667 \times 10^{-6} \times \dfrac{1.0}{1.13267386368}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.13267386368}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.13267386368}}} = 1.18387760416667 \times 10^{-6} \times \dfrac{1.0}{1.13267386368}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.18387760416667 \times 10^{-6}}{1.13267386368}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000010452\approx1.0452 \times 10^{-6}\)
\(\text{Conversion Equation}\)
\(1.0\left(fluid \text{ } scruple\right)\approx{\color{rgb(20,165,174)} 1.0452 \times 10^{-6}}\left(ton\right)\)
