Convert pint to lambda

Learn how to convert 1 pint to lambda step by step.

Calculation Breakdown

Set up the equation

1.0 (p i n t) = x (l a m b d a)

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 i n t) = 5.506104713575 \times 10^{- 4} (c u b i c m e t e r) = 5.506104713575 \times 10^{- 4} (m^{3})

Right side: 1.0 (l a m b d a) = 10^{- 9} (c u b i c m e t e r) = 10^{- 9} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (p i n t) = x (l a m b d a)

Insert known values =>

1.0 \times 5.506104713575 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 10^{- 9} \times (c u b i c m e t e r)

Or

1.0 \cdot 5.506104713575 \times 10^{- 4} \cdot (m^{3}) = x \cdot 10^{- 9} \cdot (m^{3})

Cancel SI units

1.0 \times 5.506104713575 \times 10^{- 4} \cdot (m^{3}) = x \times 10^{- 9} \times (m^{3})

Conversion Equation

5.506104713575 \times 10^{- 4} = x \times 10^{- 9}

Cancel factors on both sides

Cancel factors

5.506104713575 \times 10^{- 4} = x \times {10^{- 9}}^{10^{- 5}}

Simplify

5.506104713575 = x \times 10^{- 5}

Switch sides

x \times 10^{- 5} = 5.506104713575

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 5}})

x \times 10^{- 5} \times \frac{1.0}{10^{- 5}} = 5.506104713575 \times \frac{1.0}{10^{- 5}}

Cancel

x \times 10^{- 5} \times \frac{1.0}{10^{- 5}} = 5.506104713575 \times \frac{1.0}{10^{- 5}}

Simplify

x = \frac{5.506104713575}{10^{- 5}}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = 10^{5} \times 5.506104713575

Solve

x

x \approx 550610.47136 \approx 5.5061 \times 10^{5}

Conversion Equation

1.0 (p i n t) \approx 5.5061 \times 10^{5} (l a m b d a)

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