Convert dram to bag
Learn how to convert
1
dram to
bag
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(dram\right)={\color{rgb(20,165,174)} x}\left(bag\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(dram\right) = {\color{rgb(89,182,91)} 3.5516328125 \times 10^{-6}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 3.5516328125 \times 10^{-6}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(bag\right) = {\color{rgb(125,164,120)} 0.10910616\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 0.10910616\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(dram\right)={\color{rgb(20,165,174)} x}\left(bag\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.5516328125 \times 10^{-6}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 0.10910616}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.5516328125 \times 10^{-6}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 0.10910616} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.5516328125 \times 10^{-6}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 0.10910616} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(3.5516328125 \times 10^{-6} = {\color{rgb(20,165,174)} x} \times 0.10910616\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 0.10910616 = 3.5516328125 \times 10^{-6}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{0.10910616}\right)\)
\({\color{rgb(20,165,174)} x} \times 0.10910616 \times \dfrac{1.0}{0.10910616} = 3.5516328125 \times 10^{-6} \times \dfrac{1.0}{0.10910616}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.10910616}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.10910616}}} = 3.5516328125 \times 10^{-6} \times \dfrac{1.0}{0.10910616}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.5516328125 \times 10^{-6}}{0.10910616}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000325521\approx3.2552 \times 10^{-5}\)
\(\text{Conversion Equation}\)
\(1.0\left(dram\right)\approx{\color{rgb(20,165,174)} 3.2552 \times 10^{-5}}\left(bag\right)\)
