Convert pony to pottle

Learn how to convert 1 pony to pottle step by step.

Calculation Breakdown

Set up the equation

1.0 (p o n y) = x (p o t t l e)

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 (p o n y) = 2.2180147171875 \times 10^{- 5} (c u b i c m e t e r) = 2.2180147171875 \times 10^{- 5} (m^{3})

Right side: 1.0 (p o t t l e) = 2.273045 \times 10^{- 3} (c u b i c m e t e r) = 2.273045 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (p o n y) = x (p o t t l e)

Insert known values =>

1.0 \times 2.2180147171875 \times 10^{- 5} \times (c u b i c m e t e r) = x \times 2.273045 \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot 2.2180147171875 \times 10^{- 5} \cdot (m^{3}) = x \cdot 2.273045 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 2.2180147171875 \times 10^{- 5} \cdot (m^{3}) = x \times 2.273045 \times 10^{- 3} \times (m^{3})

Conversion Equation

2.2180147171875 \times 10^{- 5} = x \times 2.273045 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

2.2180147171875 \times {10^{- 5}}^{10^{- 2}} = x \times 2.273045 \times 10^{- 3}

Simplify

2.2180147171875 \times 10^{- 2} = x \times 2.273045

Switch sides

x \times 2.273045 = 2.2180147171875 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.273045})

x \times 2.273045 \times \frac{1.0}{2.273045} = 2.2180147171875 \times 10^{- 2} \times \frac{1.0}{2.273045}

Cancel

x \times 2.273045 \times \frac{1.0}{2.273045} = 2.2180147171875 \times 10^{- 2} \times \frac{1.0}{2.273045}

Simplify

x = \frac{2.2180147171875 \times 10^{- 2}}{2.273045}

Solve

x

x \approx 0.0097579006 \approx 9.7579 \times 10^{- 3}

Conversion Equation

1.0 (p o n y) \approx 9.7579 \times 10^{- 3} (p o t t l e)

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