Convert gallon atmosphere to cubic yard of atmosphere

Learn how to convert 1 gallon atmosphere to cubic yard of atmosphere step by step.

Calculation Breakdown

Set up the equation

1.0 (g a l l o n a t m o s p h e r e) = x (c u b i c y a r d o f a t m o s p h e r e)

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

(j o u l e)

Left side: 1.0 (g a l l o n a t m o s p h e r e) = 383.5568490138 (j o u l e) = 383.5568490138 (J)

Right side: 1.0 (c u b i c y a r d o f a t m o s p h e r e) = 77468.5209852288 (j o u l e) = 77468.5209852288 (J)

Insert known values into the conversion equation to determine

x

1.0 (g a l l o n a t m o s p h e r e) = x (c u b i c y a r d o f a t m o s p h e r e)

Insert known values =>

1.0 \times 383.5568490138 \times (j o u l e) = x \times 77468.5209852288 \times (j o u l e)

Or

1.0 \cdot 383.5568490138 \cdot (J) = x \cdot 77468.5209852288 \cdot (J)

Cancel SI units

1.0 \times 383.5568490138 \cdot (J) = x \times 77468.5209852288 \times (J)

Conversion Equation

383.5568490138 = x \times 77468.5209852288

Switch sides

x \times 77468.5209852288 = 383.5568490138

Isolate

x

Multiply both sides by

(\frac{1.0}{77468.5209852288})

x \times 77468.5209852288 \times \frac{1.0}{77468.5209852288} = 383.5568490138 \times \frac{1.0}{77468.5209852288}

Cancel

x \times 77468.5209852288 \times \frac{1.0}{77468.5209852288} = 383.5568490138 \times \frac{1.0}{77468.5209852288}

Simplify

x = \frac{383.5568490138}{77468.5209852288}

Solve

x

x \approx 0.0049511317 \approx 4.9511 \times 10^{- 3}

Conversion Equation

1.0 (g a l l o n a t m o s p h e r e) \approx 4.9511 \times 10^{- 3} (c u b i c y a r d o f a t m o s p h e r e)

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