Convert pail to lambda

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

Calculation Breakdown

Set up the equation

1.0 (p a i l) = 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 a i l) = 2.9094976 \times 10^{- 1} (c u b i c m e t e r) = 2.9094976 \times 10^{- 1} (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 a i l) = x (l a m b d a)

Insert known values =>

1.0 \times 2.9094976 \times 10^{- 1} \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 2.9094976 \times 10^{- 1} \cdot (m^{3}) = x \cdot 10^{- 9} \cdot (m^{3})

Cancel SI units

1.0 \times 2.9094976 \times 10^{- 1} \cdot (m^{3}) = x \times 10^{- 9} \times (m^{3})

Conversion Equation

2.9094976 \times 10^{- 1} = x \times 10^{- 9}

Cancel factors on both sides

Cancel factors

2.9094976 \times 10^{- 1} = x \times {10^{- 9}}^{10^{- 8}}

Simplify

2.9094976 = x \times 10^{- 8}

Switch sides

x \times 10^{- 8} = 2.9094976

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 8}})

x \times 10^{- 8} \times \frac{1.0}{10^{- 8}} = 2.9094976 \times \frac{1.0}{10^{- 8}}

Cancel

x \times 10^{- 8} \times \frac{1.0}{10^{- 8}} = 2.9094976 \times \frac{1.0}{10^{- 8}}

Simplify

x = \frac{2.9094976}{10^{- 8}}

Rewrite equation

\frac{1.0}{10^{- 8}} can be rewritten to 10^{8}

Rewrite

x = 10^{8} \times 2.9094976

Solve

x

x = 290949760 \approx 2.9095 \times 10^{8}

Conversion Equation

1.0 (p a i l) \approx 2.9095 \times 10^{8} (l a m b d a)

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