Convert ton / cubic inch to pound / cubic inch

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

Calculation Breakdown

Set up the equation

1.0 (\frac{t o n}{c u b i c i n c h}) = x (\frac{p o u n d}{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{t o n}{c u b i c i n c h}) = \frac{10^{3}}{1.6387064 \times 10^{- 5}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{3}}{1.6387064 \times 10^{- 5}} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{p o u n d}{c u b i c i n c h}) = \frac{5.0}{1.6387064 \times 10^{- 4}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{5.0}{1.6387064 \times 10^{- 4}} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{10^{3}}{1.6387064 \times 10^{- 5}} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{5.0}{1.6387064 \times 10^{- 4}} \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{10^{3}}{1.6387064 \times 10^{- 5}} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{5.0}{1.6387064 \times 10^{- 4}} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{10^{3}}{1.6387064 \times 10^{- 5}} \cdot (\frac{k g}{m^{3}}) = x \times \frac{5.0}{1.6387064 \times 10^{- 4}} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{10^{3}}{1.6387064 \times 10^{- 5}} = x \times \frac{5.0}{1.6387064 \times 10^{- 4}}

Cancel factors on both sides

Cancel factors

\frac{10^{3}}{1.6387064 \times {10^{- 5}}^{10^{- 1}}} = x \times \frac{5.0}{1.6387064 \times 10^{- 4}}

Simplify

\frac{10^{3}}{10^{- 1}} = x \times 5.0

Switch sides

x \times 5.0 = \frac{10^{3}}{10^{- 1}}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0})

x \times 5.0 \times \frac{1.0}{5.0} = \frac{10^{3}}{10^{- 1}} \times \frac{1.0}{5.0}

Cancel

x \times 5.0 \times \frac{1.0}{5.0} = \frac{10^{3} \times 1.0}{10^{- 1} \times 5.0}

Simplify

x = \frac{10^{3}}{10^{- 1} \times 5.0}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 10^{3}}{5.0}

Simplify

x = \frac{10^{4}}{5.0}

Solve

x

x = 2000 = 2 \times 10^{3}

Conversion Equation

1.0 (\frac{t o n}{c u b i c i n c h}) = 2 \times 10^{3} (\frac{p o u n d}{c u b i c i n c h})

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