Convert cubic fathom to tablespoon
Learn how to convert
1
cubic fathom to
tablespoon
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(cubic \text{ } fathom\right)={\color{rgb(20,165,174)} x}\left(tablespoon\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(cubic \text{ } fathom\right) = {\color{rgb(89,182,91)} 6.116438863872\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 6.116438863872\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(tablespoon\right) = {\color{rgb(125,164,120)} 1.5 \times 10^{-5}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 1.5 \times 10^{-5}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(cubic \text{ } fathom\right)={\color{rgb(20,165,174)} x}\left(tablespoon\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 6.116438863872} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.5 \times 10^{-5}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 6.116438863872} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.5 \times 10^{-5}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 6.116438863872} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.5 \times 10^{-5}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(6.116438863872 = {\color{rgb(20,165,174)} x} \times 1.5 \times 10^{-5}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1.5 \times 10^{-5} = 6.116438863872\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1.5 \times 10^{-5}}\right)\)
\({\color{rgb(20,165,174)} x} \times 1.5 \times 10^{-5} \times \dfrac{1.0}{1.5 \times 10^{-5}} = 6.116438863872 \times \dfrac{1.0}{1.5 \times 10^{-5}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.5}} \times {\color{rgb(99,194,222)} \cancel{10^{-5}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.5}} \times {\color{rgb(99,194,222)} \cancel{10^{-5}}}} = 6.116438863872 \times \dfrac{1.0}{1.5 \times 10^{-5}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{6.116438863872}{1.5 \times 10^{-5}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-5}}\text{ can be rewritten to }10^{5}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{5} \times 6.116438863872}{1.5}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx407762.59092\approx4.0776 \times 10^{5}\)
\(\text{Conversion Equation}\)
\(1.0\left(cubic \text{ } fathom\right)\approx{\color{rgb(20,165,174)} 4.0776 \times 10^{5}}\left(tablespoon\right)\)
