Convert cubic yard to fifth

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

Calculation Breakdown

Set up the equation

1.0 (c u b i c y a r d) = 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 y a r d) = 7.64554857984 \times 10^{- 1} (c u b i c m e t e r) = 7.64554857984 \times 10^{- 1} (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 y a r d) = x (f i f t h)

Insert known values =>

1.0 \times 7.64554857984 \times 10^{- 1} \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 7.64554857984 \times 10^{- 1} \cdot (m^{3}) = x \cdot 7.570823568 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 7.64554857984 \times 10^{- 1} \cdot (m^{3}) = x \times 7.570823568 \times 10^{- 4} \times (m^{3})

Conversion Equation

7.64554857984 \times 10^{- 1} = x \times 7.570823568 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

7.64554857984 \times 10^{- 1} = x \times 7.570823568 \times {10^{- 4}}^{10^{- 3}}

Simplify

7.64554857984 = x \times 7.570823568 \times 10^{- 3}

Switch sides

x \times 7.570823568 \times 10^{- 3} = 7.64554857984

Isolate

x

Multiply both sides by

(\frac{1.0}{7.570823568 \times 10^{- 3}})

x \times 7.570823568 \times 10^{- 3} \times \frac{1.0}{7.570823568 \times 10^{- 3}} = 7.64554857984 \times \frac{1.0}{7.570823568 \times 10^{- 3}}

Cancel

x \times 7.570823568 \times 10^{- 3} \times \frac{1.0}{7.570823568 \times 10^{- 3}} = 7.64554857984 \times \frac{1.0}{7.570823568 \times 10^{- 3}}

Simplify

x = \frac{7.64554857984}{7.570823568 \times 10^{- 3}}

Rewrite equation

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

Rewrite

x = \frac{10^{3} \times 7.64554857984}{7.570823568}

Solve

x

x \approx 1009.8701299 \approx 1.0099 \times 10^{3}

Conversion Equation

1.0 (c u b i c y a r d) \approx 1.0099 \times 10^{3} (f i f t h)

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