Convert ounce / barrel to grain / cubic foot

Learn how to convert 1 ounce / barrel to grain / cubic foot step by step.

Calculation Breakdown

Set up the equation

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

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{o u n c e}{b a r r e l}) = \frac{2.8349523125}{16.365924} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{2.8349523125}{16.365924} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{g r a i n}{c u b i c f o o t}) = \frac{6.479891 \times 10^{- 3}}{2.8316846592} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{6.479891 \times 10^{- 3}}{2.8316846592} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{2.8349523125}{16.365924} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{6.479891 \times 10^{- 3}}{2.8316846592} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot \frac{2.8349523125}{16.365924} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{6.479891 \times 10^{- 3}}{2.8316846592} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{2.8349523125}{16.365924} \cdot (\frac{k g}{m^{3}}) = x \times \frac{6.479891 \times 10^{- 3}}{2.8316846592} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{2.8349523125}{16.365924} = x \times \frac{6.479891 \times 10^{- 3}}{2.8316846592}

Switch sides

x \times \frac{6.479891 \times 10^{- 3}}{2.8316846592} = \frac{2.8349523125}{16.365924}

Isolate

x

Multiply both sides by

(\frac{2.8316846592}{6.479891 \times 10^{- 3}})

x \times \frac{6.479891 \times 10^{- 3}}{2.8316846592} \times \frac{2.8316846592}{6.479891 \times 10^{- 3}} = \frac{2.8349523125}{16.365924} \times \frac{2.8316846592}{6.479891 \times 10^{- 3}}

Cancel

x \times \frac{6.479891 \times 10^{- 3} \times 2.8316846592}{2.8316846592 \times 6.479891 \times 10^{- 3}} = \frac{2.8349523125 \times 2.8316846592}{16.365924 \times 6.479891 \times 10^{- 3}}

Simplify

x = \frac{2.8349523125 \times 2.8316846592}{16.365924 \times 6.479891 \times 10^{- 3}}

Rewrite equation

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

Rewrite

x = \frac{10^{3} \times 2.8349523125 \times 2.8316846592}{16.365924 \times 6.479891}

Solve

x

x \approx 75.697653148 \approx 75.6977

Conversion Equation

1.0 (\frac{o u n c e}{b a r r e l}) \approx 75.6977 (\frac{g r a i n}{c u b i c f o o t})

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