Convert drop to lambda

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

Calculation Breakdown

Set up the equation

1.0 (d r o p) = 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 (d r o p) = 6.48542314967105 \times 10^{- 8} (c u b i c m e t e r) = 6.48542314967105 \times 10^{- 8} (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 (d r o p) = x (l a m b d a)

Insert known values =>

1.0 \times 6.48542314967105 \times 10^{- 8} \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 6.48542314967105 \times 10^{- 8} \cdot (m^{3}) = x \cdot 10^{- 9} \cdot (m^{3})

Cancel SI units

1.0 \times 6.48542314967105 \times 10^{- 8} \cdot (m^{3}) = x \times 10^{- 9} \times (m^{3})

Conversion Equation

6.48542314967105 \times 10^{- 8} = x \times 10^{- 9}

Cancel factors on both sides

Cancel factors

6.48542314967105 \times 10^{- 8} = x \times {10^{- 9}}^{10^{- 1}}

Simplify

6.48542314967105 = x \times 10^{- 1}

Switch sides

x \times 10^{- 1} = 6.48542314967105

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 1}})

x \times 10^{- 1} \times \frac{1.0}{10^{- 1}} = 6.48542314967105 \times \frac{1.0}{10^{- 1}}

Cancel

x \times 10^{- 1} \times \frac{1.0}{10^{- 1}} = 6.48542314967105 \times \frac{1.0}{10^{- 1}}

Simplify

x = \frac{6.48542314967105}{10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = 10.0 \times 6.48542314967105

Solve

x

x \approx 64.854231497 \approx 64.8542

Conversion Equation

1.0 (d r o p) \approx 64.8542 (l a m b d a)

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