Convert gallon to cord foot

Learn how to convert 1 gallon to cord foot step by step.

Calculation Breakdown

Set up the equation

1.0 (g a l l o n) = x (c o r d f o o 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 (g a l l o n) = 3.785411784 \times 10^{- 3} (c u b i c m e t e r) = 3.785411784 \times 10^{- 3} (m^{3})

Right side: 1.0 (c o r d f o o t) = 4.53069545472 \times 10^{- 1} (c u b i c m e t e r) = 4.53069545472 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (g a l l o n) = x (c o r d f o o t)

Insert known values =>

1.0 \times 3.785411784 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 4.53069545472 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot 3.785411784 \times 10^{- 3} \cdot (m^{3}) = x \cdot 4.53069545472 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 3.785411784 \times 10^{- 3} \cdot (m^{3}) = x \times 4.53069545472 \times 10^{- 1} \times (m^{3})

Conversion Equation

3.785411784 \times 10^{- 3} = x \times 4.53069545472 \times 10^{- 1}

Cancel factors on both sides

Cancel factors

3.785411784 \times {10^{- 3}}^{10^{- 2}} = x \times 4.53069545472 \times 10^{- 1}

Simplify

3.785411784 \times 10^{- 2} = x \times 4.53069545472

Switch sides

x \times 4.53069545472 = 3.785411784 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.53069545472})

x \times 4.53069545472 \times \frac{1.0}{4.53069545472} = 3.785411784 \times 10^{- 2} \times \frac{1.0}{4.53069545472}

Cancel

x \times 4.53069545472 \times \frac{1.0}{4.53069545472} = 3.785411784 \times 10^{- 2} \times \frac{1.0}{4.53069545472}

Simplify

x = \frac{3.785411784 \times 10^{- 2}}{4.53069545472}

Solve

x

x \approx 0.0083550347 \approx 8.355 \times 10^{- 3}

Conversion Equation

1.0 (g a l l o n) \approx 8.355 \times 10^{- 3} (c o r d f o o t)

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