Convert register ton to cubic yard

Learn how to convert 1 register ton to cubic yard step by step.

Calculation Breakdown

Set up the equation

1.0 (r e g i s t e r t o n) = x (c u b i c y a r d)

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 (r e g i s t e r t o n) = 2.8316846592 (c u b i c m e t e r) = 2.8316846592 (m^{3})

Right 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})

Insert known values into the conversion equation to determine

x

1.0 (r e g i s t e r t o n) = x (c u b i c y a r d)

Insert known values =>

1.0 \times 2.8316846592 \times (c u b i c m e t e r) = x \times 7.64554857984 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot 2.8316846592 \cdot (m^{3}) = x \cdot 7.64554857984 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 2.8316846592 \cdot (m^{3}) = x \times 7.64554857984 \times 10^{- 1} \times (m^{3})

Conversion Equation

2.8316846592 = x \times 7.64554857984 \times 10^{- 1}

Switch sides

x \times 7.64554857984 \times 10^{- 1} = 2.8316846592

Isolate

x

Multiply both sides by

(\frac{1.0}{7.64554857984 \times 10^{- 1}})

x \times 7.64554857984 \times 10^{- 1} \times \frac{1.0}{7.64554857984 \times 10^{- 1}} = 2.8316846592 \times \frac{1.0}{7.64554857984 \times 10^{- 1}}

Cancel

x \times 7.64554857984 \times 10^{- 1} \times \frac{1.0}{7.64554857984 \times 10^{- 1}} = 2.8316846592 \times \frac{1.0}{7.64554857984 \times 10^{- 1}}

Simplify

x = \frac{2.8316846592}{7.64554857984 \times 10^{- 1}}

Rewrite equation

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

Rewrite

x = \frac{10.0 \times 2.8316846592}{7.64554857984}

Solve

x

x \approx 3.7037037037 \approx 3.7037

Conversion Equation

1.0 (r e g i s t e r t o n) \approx 3.7037 (c u b i c y a r d)

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