Convert cubic foot of atmosphere to gallon atmosphere

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

Calculation Breakdown

Set up the equation

1.0 (c u b i c f o o t 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 f o o t o f a t m o s p h e r e) = 2869.2044809344 (j o u l e) = 2869.2044809344 (J)

Right 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)

Insert known values into the conversion equation to determine

x

1.0 (c u b i c f o o t 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 2869.2044809344 \times (j o u l e) = x \times 383.5568490138 \times (j o u l e)

Or

1.0 \cdot 2869.2044809344 \cdot (J) = x \cdot 383.5568490138 \cdot (J)

Cancel SI units

1.0 \times 2869.2044809344 \cdot (J) = x \times 383.5568490138 \times (J)

Conversion Equation

2869.2044809344 = x \times 383.5568490138

Switch sides

x \times 383.5568490138 = 2869.2044809344

Isolate

x

Multiply both sides by

(\frac{1.0}{383.5568490138})

x \times 383.5568490138 \times \frac{1.0}{383.5568490138} = 2869.2044809344 \times \frac{1.0}{383.5568490138}

Cancel

x \times 383.5568490138 \times \frac{1.0}{383.5568490138} = 2869.2044809344 \times \frac{1.0}{383.5568490138}

Simplify

x = \frac{2869.2044809344}{383.5568490138}

Solve

x

x \approx 7.4805194805 \approx 7.4805

Conversion Equation

1.0 (c u b i c f o o t o f a t m o s p h e r e) \approx 7.4805 (g a l l o n a t m o s p h e r e)

View All Examples