Convert bushel to dram
Learn how to convert
1
bushel to
dram
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(bushel\right)={\color{rgb(20,165,174)} x}\left(dram\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(bushel\right) = {\color{rgb(89,182,91)} 3.523907016688 \times 10^{-2}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 3.523907016688 \times 10^{-2}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(dram\right) = {\color{rgb(125,164,120)} 3.5516328125 \times 10^{-6}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 3.5516328125 \times 10^{-6}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(bushel\right)={\color{rgb(20,165,174)} x}\left(dram\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.523907016688 \times 10^{-2}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3.5516328125 \times 10^{-6}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.523907016688 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3.5516328125 \times 10^{-6}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.523907016688 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3.5516328125 \times 10^{-6}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(3.523907016688 \times 10^{-2} = {\color{rgb(20,165,174)} x} \times 3.5516328125 \times 10^{-6}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(3.523907016688 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}} = {\color{rgb(20,165,174)} x} \times 3.5516328125 \times {\color{rgb(255,204,153)} \cancelto{10^{-4}}{10^{-6}}}\)
\(\text{Simplify}\)
\(3.523907016688 = {\color{rgb(20,165,174)} x} \times 3.5516328125 \times 10^{-4}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 3.5516328125 \times 10^{-4} = 3.523907016688\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{3.5516328125 \times 10^{-4}}\right)\)
\({\color{rgb(20,165,174)} x} \times 3.5516328125 \times 10^{-4} \times \dfrac{1.0}{3.5516328125 \times 10^{-4}} = 3.523907016688 \times \dfrac{1.0}{3.5516328125 \times 10^{-4}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3.5516328125}} \times {\color{rgb(99,194,222)} \cancel{10^{-4}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{3.5516328125}} \times {\color{rgb(99,194,222)} \cancel{10^{-4}}}} = 3.523907016688 \times \dfrac{1.0}{3.5516328125 \times 10^{-4}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.523907016688}{3.5516328125 \times 10^{-4}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-4}}\text{ can be rewritten to }10^{4}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{4} \times 3.523907016688}{3.5516328125}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx9921.9350725\approx9.9219 \times 10^{3}\)
\(\text{Conversion Equation}\)
\(1.0\left(bushel\right)\approx{\color{rgb(20,165,174)} 9.9219 \times 10^{3}}\left(dram\right)\)
