Convert cubic inch to fifth

Learn how to convert 1 cubic inch to fifth step by step.

Calculation Breakdown

Set up the equation

1.0 (c u b i c i n c h) = x (f i f t h)

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

(c u b i c m e t e r)

Left side: 1.0 (c u b i c i n c h) = 1.6387064 \times 10^{- 5} (c u b i c m e t e r) = 1.6387064 \times 10^{- 5} (m^{3})

Right side: 1.0 (f i f t h) = 7.570823568 \times 10^{- 4} (c u b i c m e t e r) = 7.570823568 \times 10^{- 4} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (c u b i c i n c h) = x (f i f t h)

Insert known values =>

1.0 \times 1.6387064 \times 10^{- 5} \times (c u b i c m e t e r) = x \times 7.570823568 \times 10^{- 4} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.6387064 \times 10^{- 5} \cdot (m^{3}) = x \cdot 7.570823568 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 1.6387064 \times 10^{- 5} \cdot (m^{3}) = x \times 7.570823568 \times 10^{- 4} \times (m^{3})

Conversion Equation

1.6387064 \times 10^{- 5} = x \times 7.570823568 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

1.6387064 \times {10^{- 5}}^{10^{- 1}} = x \times 7.570823568 \times 10^{- 4}

Simplify

1.6387064 \times 10^{- 1} = x \times 7.570823568

Switch sides

x \times 7.570823568 = 1.6387064 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{7.570823568})

x \times 7.570823568 \times \frac{1.0}{7.570823568} = 1.6387064 \times 10^{- 1} \times \frac{1.0}{7.570823568}

Cancel

x \times 7.570823568 \times \frac{1.0}{7.570823568} = 1.6387064 \times 10^{- 1} \times \frac{1.0}{7.570823568}

Simplify

x = \frac{1.6387064 \times 10^{- 1}}{7.570823568}

Solve

x

x \approx 0.0216450216 \approx 2.1645 \times 10^{- 2}

Conversion Equation

1.0 (c u b i c i n c h) \approx 2.1645 \times 10^{- 2} (f i f t h)

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