# Convert firkin to cubic mile

Learn how to convert 1 firkin to cubic mile step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(firkin\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } mile\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(cubic \text{ } meter\right)$$
$$\text{Left side: 1.0 } \left(firkin\right) = {\color{rgb(89,182,91)} 3.4068706056 \times 10^{-2}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 3.4068706056 \times 10^{-2}\left(m^{3}\right)}$$
$$\text{Right side: 1.0 } \left(cubic \text{ } mile\right) = {\color{rgb(125,164,120)} 4168181825.44058\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 4168181825.44058\left(m^{3}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(firkin\right)={\color{rgb(20,165,174)} x}\left(cubic \text{ } mile\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 3.4068706056 \times 10^{-2}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4168181825.44058}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 3.4068706056 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4168181825.44058} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 3.4068706056 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4168181825.44058} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}$$
$$\text{Conversion Equation}$$
$$3.4068706056 \times 10^{-2} = {\color{rgb(20,165,174)} x} \times 4168181825.44058$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 4168181825.44058 = 3.4068706056 \times 10^{-2}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{4168181825.44058}\right)$$
$${\color{rgb(20,165,174)} x} \times 4168181825.44058 \times \dfrac{1.0}{4168181825.44058} = 3.4068706056 \times 10^{-2} \times \dfrac{1.0}{4168181825.44058}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4168181825.44058}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4168181825.44058}}} = 3.4068706056 \times 10^{-2} \times \dfrac{1.0}{4168181825.44058}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{3.4068706056 \times 10^{-2}}{4168181825.44058}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx8.1735172511 \times 10^{-12}\approx8.1735 \times 10^{-12}$$
$$\text{Conversion Equation}$$
$$1.0\left(firkin\right)\approx{\color{rgb(20,165,174)} 8.1735 \times 10^{-12}}\left(cubic \text{ } mile\right)$$