Convert ton / cubic inch to pound / cubic yard

Learn how to convert 1 ton / cubic inch to pound / cubic yard 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 y a r d})

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 y a r d}) = \frac{5.0}{7.64554857984} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{5.0}{7.64554857984} (\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 y a r d})

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}{7.64554857984} \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}{7.64554857984} \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}{7.64554857984} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{10^{3}}{1.6387064 \times 10^{- 5}} = x \times \frac{5.0}{7.64554857984}

Switch sides

x \times \frac{5.0}{7.64554857984} = \frac{10^{3}}{1.6387064 \times 10^{- 5}}

Isolate

x

Multiply both sides by

(\frac{7.64554857984}{5.0})

x \times \frac{5.0}{7.64554857984} \times \frac{7.64554857984}{5.0} = \frac{10^{3}}{1.6387064 \times 10^{- 5}} \times \frac{7.64554857984}{5.0}

Cancel

x \times \frac{5.0 \times 7.64554857984}{7.64554857984 \times 5.0} = \frac{10^{3} \times 7.64554857984}{1.6387064 \times 10^{- 5} \times 5.0}

Simplify

x = \frac{10^{3} \times 7.64554857984}{1.6387064 \times 10^{- 5} \times 5.0}

Rewrite equation

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

Rewrite

x = \frac{10^{5} \times 10^{3} \times 7.64554857984}{1.6387064 \times 5.0}

Simplify

x = \frac{10^{8} \times 7.64554857984}{1.6387064 \times 5.0}

Solve

x

x = 93312000 = 9.3312 \times 10^{7}

Conversion Equation

1.0 (\frac{t o n}{c u b i c i n c h}) = 9.3312 \times 10^{7} (\frac{p o u n d}{c u b i c y a r d})

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