Convert dash to lambda

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

Calculation Breakdown

Set up the equation

1.0 (d a s h) = 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 a s h) = 3.69961751302083 \times 10^{- 7} (c u b i c m e t e r) = 3.69961751302083 \times 10^{- 7} (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 a s h) = x (l a m b d a)

Insert known values =>

1.0 \times 3.69961751302083 \times 10^{- 7} \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 3.69961751302083 \times 10^{- 7} \cdot (m^{3}) = x \cdot 10^{- 9} \cdot (m^{3})

Cancel SI units

1.0 \times 3.69961751302083 \times 10^{- 7} \cdot (m^{3}) = x \times 10^{- 9} \times (m^{3})

Conversion Equation

3.69961751302083 \times 10^{- 7} = x \times 10^{- 9}

Cancel factors on both sides

Cancel factors

3.69961751302083 \times 10^{- 7} = x \times {10^{- 9}}^{10^{- 2}}

Simplify

3.69961751302083 = x \times 10^{- 2}

Switch sides

x \times 10^{- 2} = 3.69961751302083

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 2}})

x \times 10^{- 2} \times \frac{1.0}{10^{- 2}} = 3.69961751302083 \times \frac{1.0}{10^{- 2}}

Cancel

x \times 10^{- 2} \times \frac{1.0}{10^{- 2}} = 3.69961751302083 \times \frac{1.0}{10^{- 2}}

Simplify

x = \frac{3.69961751302083}{10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = 10^{2} \times 3.69961751302083

Solve

x

x \approx 369.9617513 \approx 3.6996 \times 10^{2}

Conversion Equation

1.0 (d a s h) \approx 3.6996 \times 10^{2} (l a m b d a)

View All Examples