Convert cubic yard of atmosphere to gallon atmosphere

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

Calculation Breakdown

Set up the equation

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

Right side: 1.0 (g a l l o n a t m o s p h e r e) = 460.63256925 (j o u l e) = 460.63256925 (J)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 77468.5209852288 \times (j o u l e) = x \times 460.63256925 \times (j o u l e)

Or

1.0 \cdot 77468.5209852288 \cdot (J) = x \cdot 460.63256925 \cdot (J)

Cancel SI units

1.0 \times 77468.5209852288 \cdot (J) = x \times 460.63256925 \times (J)

Conversion Equation

77468.5209852288 = x \times 460.63256925

Switch sides

x \times 460.63256925 = 77468.5209852288

Isolate

x

Multiply both sides by

(\frac{1.0}{460.63256925})

x \times 460.63256925 \times \frac{1.0}{460.63256925} = 77468.5209852288 \times \frac{1.0}{460.63256925}

Cancel

x \times 460.63256925 \times \frac{1.0}{460.63256925} = 77468.5209852288 \times \frac{1.0}{460.63256925}

Simplify

x = \frac{77468.5209852288}{460.63256925}

Solve

x

x \approx 168.17855739 \approx 1.6818 \times 10^{2}

Conversion Equation

1.0 (c u b i c y a r d o f a t m o s p h e r e) \approx 1.6818 \times 10^{2} (g a l l o n a t m o s p h e r e)

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