Convert dram to lambda

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

Calculation Breakdown

Set up the equation

1.0 (d r a m) = 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 a m) = 3.5516328125 \times 10^{- 6} (c u b i c m e t e r) = 3.5516328125 \times 10^{- 6} (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 a m) = x (l a m b d a)

Insert known values =>

1.0 \times 3.5516328125 \times 10^{- 6} \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 3.5516328125 \times 10^{- 6} \cdot (m^{3}) = x \cdot 10^{- 9} \cdot (m^{3})

Cancel SI units

1.0 \times 3.5516328125 \times 10^{- 6} \cdot (m^{3}) = x \times 10^{- 9} \times (m^{3})

Conversion Equation

3.5516328125 \times 10^{- 6} = x \times 10^{- 9}

Cancel factors on both sides

Cancel factors

3.5516328125 \times 10^{- 6} = x \times {10^{- 9}}^{10^{- 3}}

Simplify

3.5516328125 = x \times 10^{- 3}

Switch sides

x \times 10^{- 3} = 3.5516328125

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 3}})

x \times 10^{- 3} \times \frac{1.0}{10^{- 3}} = 3.5516328125 \times \frac{1.0}{10^{- 3}}

Cancel

x \times 10^{- 3} \times \frac{1.0}{10^{- 3}} = 3.5516328125 \times \frac{1.0}{10^{- 3}}

Simplify

x = \frac{3.5516328125}{10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = 10^{3} \times 3.5516328125

Solve

x

x = 3551.6328125 \approx 3.5516 \times 10^{3}

Conversion Equation

1.0 (d r a m) \approx 3.5516 \times 10^{3} (l a m b d a)

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