Convert grain / liter to ounce / cubic meter

Learn how to convert 1 grain / liter to ounce / cubic meter step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a i n}{l i t e r}) = x (\frac{o u n c e}{c u b i c m e t e r})

Define the base values of the selected units in relation to the SI unit

(\frac{k i l o g r a m}{c u b i c m e t e r})

Left side: 1.0 (\frac{g r a i n}{l i t e r}) = 6.479891 \times 10^{- 2} (\frac{k i l o g r a m}{c u b i c m e t e r}) = 6.479891 \times 10^{- 2} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{o u n c e}{c u b i c m e t e r}) = 2.8349523125 \times 10^{- 2} (\frac{k i l o g r a m}{c u b i c m e t e r}) = 2.8349523125 \times 10^{- 2} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{g r a i n}{l i t e r}) = x (\frac{o u n c e}{c u b i c m e t e r})

Insert known values =>

1.0 \times 6.479891 \times 10^{- 2} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times 2.8349523125 \times 10^{- 2} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot 6.479891 \times 10^{- 2} \cdot (\frac{k g}{m^{3}}) = x \cdot 2.8349523125 \times 10^{- 2} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times 6.479891 \times 10^{- 2} \cdot (\frac{k g}{m^{3}}) = x \times 2.8349523125 \times 10^{- 2} \times (\frac{k g}{m^{3}})

Conversion Equation

6.479891 \times 10^{- 2} = x \times 2.8349523125 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

6.479891 \times 10^{- 2} = x \times 2.8349523125 \times 10^{- 2}

Simplify

6.479891 = x \times 2.8349523125

Switch sides

x \times 2.8349523125 = 6.479891

Isolate

x

Multiply both sides by

(\frac{1.0}{2.8349523125})

x \times 2.8349523125 \times \frac{1.0}{2.8349523125} = 6.479891 \times \frac{1.0}{2.8349523125}

Cancel

x \times 2.8349523125 \times \frac{1.0}{2.8349523125} = 6.479891 \times \frac{1.0}{2.8349523125}

Simplify

x = \frac{6.479891}{2.8349523125}

Solve

x

x \approx 2.2857142857 \approx 2.2857

Conversion Equation

1.0 (\frac{g r a i n}{l i t e r}) \approx 2.2857 (\frac{o u n c e}{c u b i c m e t e r})

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