Convert to(升) to barrel

Learn how to convert 1 to(升) to barrel step by step.

Calculation Breakdown

Set up the equation

1.0 (t o (升)) = x (b a r r e l)

Define the base values of the selected units in relation to the SI unit

(c u b i c m e t e r)

Left side: 1.0 (t o (升)) = \frac{2.401}{1.331 \times 10^{2}} (c u b i c m e t e r) = \frac{2.401}{1.331 \times 10^{2}} (m^{3})

Right side: 1.0 (b a r r e l) = 0.119240471196 (c u b i c m e t e r) = 0.119240471196 (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (t o (升)) = x (b a r r e l)

Insert known values =>

1.0 \times \frac{2.401}{1.331 \times 10^{2}} \times (c u b i c m e t e r) = x \times 0.119240471196 \times (c u b i c m e t e r)

Or

1.0 \cdot \frac{2.401}{1.331 \times 10^{2}} \cdot (m^{3}) = x \cdot 0.119240471196 \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2.401}{1.331 \times 10^{2}} \cdot (m^{3}) = x \times 0.119240471196 \times (m^{3})

Conversion Equation

\frac{2.401}{1.331 \times 10^{2}} = x \times 0.119240471196

Switch sides

x \times 0.119240471196 = \frac{2.401}{1.331 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.119240471196})

x \times 0.119240471196 \times \frac{1.0}{0.119240471196} = \frac{2.401}{1.331 \times 10^{2}} \times \frac{1.0}{0.119240471196}

Cancel

x \times 0.119240471196 \times \frac{1.0}{0.119240471196} = \frac{2.401 \times 1.0}{1.331 \times 10^{2} \times 0.119240471196}

Simplify

x = \frac{2.401}{1.331 \times 10^{2} \times 0.119240471196}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 2.401}{1.331 \times 0.119240471196}

Solve

x

x \approx 0.151283102 \approx 1.5128 \times 10^{- 1}

Conversion Equation

1.0 (t o (升)) \approx 1.5128 \times 10^{- 1} (b a r r e l)

View All Examples