Convert gallon to dan(市石)

Learn how to convert 1 gallon to dan(市石) step by step.

Calculation Breakdown

Set up the equation

1.0 (g a l l o n) = x (d a n (市 石))

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) = 4.5424941408 \times 10^{- 3} (c u b i c m e t e r) = 4.5424941408 \times 10^{- 3} (m^{3})

Right side: 1.0 (d a n (市 石)) = 10^{- 1} (c u b i c m e t e r) = 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (g a l l o n) = x (d a n (市 石))

Insert known values =>

1.0 \times 4.5424941408 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot 4.5424941408 \times 10^{- 3} \cdot (m^{3}) = x \cdot 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 4.5424941408 \times 10^{- 3} \cdot (m^{3}) = x \times 10^{- 1} \times (m^{3})

Conversion Equation

4.5424941408 \times 10^{- 3} = x \times 10^{- 1}

Cancel factors on both sides

Cancel factors

4.5424941408 \times {10^{- 3}}^{10^{- 2}} = x \times 10^{- 1}

Simplify

4.5424941408 \times 10^{- 2} = x

Switch sides

x = 4.5424941408 \times 10^{- 2}

Solve

x

x \approx 0.0454249414 \approx 4.5425 \times 10^{- 2}

Conversion Equation

1.0 (g a l l o n) \approx 4.5425 \times 10^{- 2} (d a n (市 石))

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