Convert quart to barrel

Learn how to convert 1 quart to barrel step by step.

Calculation Breakdown

Set up the equation

1.0 (q u a r t) = 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 (q u a r t) = 1.1365225 \times 10^{- 3} (c u b i c m e t e r) = 1.1365225 \times 10^{- 3} (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 (q u a r t) = x (b a r r e l)

Insert known values =>

1.0 \times 1.1365225 \times 10^{- 3} \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 1.1365225 \times 10^{- 3} \cdot (m^{3}) = x \cdot 0.119240471196 \cdot (m^{3})

Cancel SI units

1.0 \times 1.1365225 \times 10^{- 3} \cdot (m^{3}) = x \times 0.119240471196 \times (m^{3})

Conversion Equation

1.1365225 \times 10^{- 3} = x \times 0.119240471196

Switch sides

x \times 0.119240471196 = 1.1365225 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.119240471196})

x \times 0.119240471196 \times \frac{1.0}{0.119240471196} = 1.1365225 \times 10^{- 3} \times \frac{1.0}{0.119240471196}

Cancel

x \times 0.119240471196 \times \frac{1.0}{0.119240471196} = 1.1365225 \times 10^{- 3} \times \frac{1.0}{0.119240471196}

Simplify

x = \frac{1.1365225 \times 10^{- 3}}{0.119240471196}

Solve

x

x \approx 0.0095313486 \approx 9.5313 \times 10^{- 3}

Conversion Equation

1.0 (q u a r t) \approx 9.5313 \times 10^{- 3} (b a r r e l)

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