Convert quart to lambda

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

Calculation Breakdown

Set up the equation

1.0 (q u a r t) = 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 (q u a r t) = 9.46352946 \times 10^{- 4} (c u b i c m e t e r) = 9.46352946 \times 10^{- 4} (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 (q u a r t) = x (l a m b d a)

Insert known values =>

1.0 \times 9.46352946 \times 10^{- 4} \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 9.46352946 \times 10^{- 4} \cdot (m^{3}) = x \cdot 10^{- 9} \cdot (m^{3})

Cancel SI units

1.0 \times 9.46352946 \times 10^{- 4} \cdot (m^{3}) = x \times 10^{- 9} \times (m^{3})

Conversion Equation

9.46352946 \times 10^{- 4} = x \times 10^{- 9}

Cancel factors on both sides

Cancel factors

9.46352946 \times 10^{- 4} = x \times {10^{- 9}}^{10^{- 5}}

Simplify

9.46352946 = x \times 10^{- 5}

Switch sides

x \times 10^{- 5} = 9.46352946

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 5}})

x \times 10^{- 5} \times \frac{1.0}{10^{- 5}} = 9.46352946 \times \frac{1.0}{10^{- 5}}

Cancel

x \times 10^{- 5} \times \frac{1.0}{10^{- 5}} = 9.46352946 \times \frac{1.0}{10^{- 5}}

Simplify

x = \frac{9.46352946}{10^{- 5}}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = 10^{5} \times 9.46352946

Solve

x

x = 946352.946 \approx 9.4635 \times 10^{5}

Conversion Equation

1.0 (q u a r t) \approx 9.4635 \times 10^{5} (l a m b d a)

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