Convert gallon to sack

Learn how to convert 1 gallon to sack step by step.

Calculation Breakdown

Set up the equation

1.0 (g a l l o n) = x (s a c k)

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) = 4.40488377086 \times 10^{- 3} (c u b i c m e t e r) = 4.40488377086 \times 10^{- 3} (m^{3})

Right side: 1.0 (s a c k) = 1.0571721050064 \times 10^{- 1} (c u b i c m e t e r) = 1.0571721050064 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (g a l l o n) = x (s a c k)

Insert known values =>

1.0 \times 4.40488377086 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 1.0571721050064 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot 4.40488377086 \times 10^{- 3} \cdot (m^{3}) = x \cdot 1.0571721050064 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 4.40488377086 \times 10^{- 3} \cdot (m^{3}) = x \times 1.0571721050064 \times 10^{- 1} \times (m^{3})

Conversion Equation

4.40488377086 \times 10^{- 3} = x \times 1.0571721050064 \times 10^{- 1}

Cancel factors on both sides

Cancel factors

4.40488377086 \times {10^{- 3}}^{10^{- 2}} = x \times 1.0571721050064 \times 10^{- 1}

Simplify

4.40488377086 \times 10^{- 2} = x \times 1.0571721050064

Switch sides

x \times 1.0571721050064 = 4.40488377086 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.0571721050064})

x \times 1.0571721050064 \times \frac{1.0}{1.0571721050064} = 4.40488377086 \times 10^{- 2} \times \frac{1.0}{1.0571721050064}

Cancel

x \times 1.0571721050064 \times \frac{1.0}{1.0571721050064} = 4.40488377086 \times 10^{- 2} \times \frac{1.0}{1.0571721050064}

Simplify

x = \frac{4.40488377086 \times 10^{- 2}}{1.0571721050064}

Solve

x

x \approx 0.0416666667 \approx 4.1667 \times 10^{- 2}

Conversion Equation

1.0 (g a l l o n) \approx 4.1667 \times 10^{- 2} (s a c k)

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