Convert pound / liter to ounce / cubic inch

Learn how to convert 1 pound / liter to ounce / cubic inch step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{p o u n d}{l i t e r}) = x (\frac{o u n c e}{c u b i c i n c h})

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{p o u n d}{l i t e r}) = 4.5359237 \times 10^{2} (\frac{k i l o g r a m}{c u b i c m e t e r}) = 4.5359237 \times 10^{2} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{o u n c e}{c u b i c i n c h}) = \frac{2.8349523125}{1.6387064 \times 10^{- 3}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{2.8349523125}{1.6387064 \times 10^{- 3}} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{p o u n d}{l i t e r}) = x (\frac{o u n c e}{c u b i c i n c h})

Insert known values =>

1.0 \times 4.5359237 \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 \frac{2.8349523125}{1.6387064 \times 10^{- 3}} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot 4.5359237 \times 10^{2} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{2.8349523125}{1.6387064 \times 10^{- 3}} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times 4.5359237 \times 10^{2} \cdot (\frac{k g}{m^{3}}) = x \times \frac{2.8349523125}{1.6387064 \times 10^{- 3}} \times (\frac{k g}{m^{3}})

Conversion Equation

4.5359237 \times 10^{2} = x \times \frac{2.8349523125}{1.6387064 \times 10^{- 3}}

Switch sides

x \times \frac{2.8349523125}{1.6387064 \times 10^{- 3}} = 4.5359237 \times 10^{2}

Isolate

x

Multiply both sides by

(\frac{1.6387064 \times 10^{- 3}}{2.8349523125})

x \times \frac{2.8349523125}{1.6387064 \times 10^{- 3}} \times \frac{1.6387064 \times 10^{- 3}}{2.8349523125} = 4.5359237 \times 10^{2} \times \frac{1.6387064 \times 10^{- 3}}{2.8349523125}

Cancel

x \times \frac{2.8349523125 \times 1.6387064 \times 10^{- 3}}{1.6387064 \times 10^{- 3} \times 2.8349523125} = 4.5359237 \times 10^{2} \times \frac{1.6387064 \times {10^{- 3}}^{10^{- 1}}}{2.8349523125}

Simplify

x = \frac{4.5359237 \times 1.6387064 \times 10^{- 1}}{2.8349523125}

Solve

x

x = 0.262193024 \approx 2.6219 \times 10^{- 1}

Conversion Equation

1.0 (\frac{p o u n d}{l i t e r}) \approx 2.6219 \times 10^{- 1} (\frac{o u n c e}{c u b i c i n c h})

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