Convert cubic fathom to quart

Learn how to convert 1 cubic fathom to quart step by step.

Calculation Breakdown

Set up the equation

1.0 (c u b i c f a t h o m) = x (q u a r t)

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 (c u b i c f a t h o m) = 6.116438863872 (c u b i c m e t e r) = 6.116438863872 (m^{3})

Right side: 1.0 (q u a r t) = 1.101220942715 \times 10^{- 3} (c u b i c m e t e r) = 1.101220942715 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (c u b i c f a t h o m) = x (q u a r t)

Insert known values =>

1.0 \times 6.116438863872 \times (c u b i c m e t e r) = x \times 1.101220942715 \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot 6.116438863872 \cdot (m^{3}) = x \cdot 1.101220942715 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 6.116438863872 \cdot (m^{3}) = x \times 1.101220942715 \times 10^{- 3} \times (m^{3})

Conversion Equation

6.116438863872 = x \times 1.101220942715 \times 10^{- 3}

Switch sides

x \times 1.101220942715 \times 10^{- 3} = 6.116438863872

Isolate

x

Multiply both sides by

(\frac{1.0}{1.101220942715 \times 10^{- 3}})

x \times 1.101220942715 \times 10^{- 3} \times \frac{1.0}{1.101220942715 \times 10^{- 3}} = 6.116438863872 \times \frac{1.0}{1.101220942715 \times 10^{- 3}}

Cancel

x \times 1.101220942715 \times 10^{- 3} \times \frac{1.0}{1.101220942715 \times 10^{- 3}} = 6.116438863872 \times \frac{1.0}{1.101220942715 \times 10^{- 3}}

Simplify

x = \frac{6.116438863872}{1.101220942715 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 6.116438863872}{1.101220942715}

Solve

x

x \approx 5554.2340566 \approx 5.5542 \times 10^{3}

Conversion Equation

1.0 (c u b i c f a t h o m) \approx 5.5542 \times 10^{3} (q u a r t)

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