Convert lambda to bucket

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

Calculation Breakdown

Set up the equation

1.0 (l a m b d a) = x (b u c k e t)

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

Right side: 1.0 (b u c k e t) = 1.818436 \times 10^{- 2} (c u b i c m e t e r) = 1.818436 \times 10^{- 2} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (l a m b d a) = x (b u c k e t)

Insert known values =>

1.0 \times 10^{- 9} \times (c u b i c m e t e r) = x \times 1.818436 \times 10^{- 2} \times (c u b i c m e t e r)

Or

1.0 \cdot 10^{- 9} \cdot (m^{3}) = x \cdot 1.818436 \times 10^{- 2} \cdot (m^{3})

Cancel SI units

1.0 \times 10^{- 9} \cdot (m^{3}) = x \times 1.818436 \times 10^{- 2} \times (m^{3})

Conversion Equation

10^{- 9} = x \times 1.818436 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

{10^{- 9}}^{10^{- 7}} = x \times 1.818436 \times 10^{- 2}

Simplify

10^{- 7} = x \times 1.818436

Switch sides

x \times 1.818436 = 10^{- 7}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.818436})

x \times 1.818436 \times \frac{1.0}{1.818436} = 10^{- 7} \times \frac{1.0}{1.818436}

Cancel

x \times 1.818436 \times \frac{1.0}{1.818436} = 10^{- 7} \times \frac{1.0}{1.818436}

Simplify

x = \frac{10^{- 7}}{1.818436}

Solve

x

x \approx 0.000000055 \approx 5.4992 \times 10^{- 8}

Conversion Equation

1.0 (l a m b d a) \approx 5.4992 \times 10^{- 8} (b u c k e t)

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