Convert noggin to cubic foot

Learn how to convert 1 noggin to cubic foot step by step.

Calculation Breakdown

Set up the equation

1.0 (n o g g i n) = x (c u b i c f o o t)

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 (n o g g i n) = 1.420653125 \times 10^{- 4} (c u b i c m e t e r) = 1.420653125 \times 10^{- 4} (m^{3})

Right side: 1.0 (c u b i c f o o t) = 2.8316846592 \times 10^{- 2} (c u b i c m e t e r) = 2.8316846592 \times 10^{- 2} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (n o g g i n) = x (c u b i c f o o t)

Insert known values =>

1.0 \times 1.420653125 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 2.8316846592 \times 10^{- 2} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.420653125 \times 10^{- 4} \cdot (m^{3}) = x \cdot 2.8316846592 \times 10^{- 2} \cdot (m^{3})

Cancel SI units

1.0 \times 1.420653125 \times 10^{- 4} \cdot (m^{3}) = x \times 2.8316846592 \times 10^{- 2} \times (m^{3})

Conversion Equation

1.420653125 \times 10^{- 4} = x \times 2.8316846592 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

1.420653125 \times {10^{- 4}}^{10^{- 2}} = x \times 2.8316846592 \times 10^{- 2}

Simplify

1.420653125 \times 10^{- 2} = x \times 2.8316846592

Switch sides

x \times 2.8316846592 = 1.420653125 \times 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.8316846592})

x \times 2.8316846592 \times \frac{1.0}{2.8316846592} = 1.420653125 \times 10^{- 2} \times \frac{1.0}{2.8316846592}

Cancel

x \times 2.8316846592 \times \frac{1.0}{2.8316846592} = 1.420653125 \times 10^{- 2} \times \frac{1.0}{2.8316846592}

Simplify

x = \frac{1.420653125 \times 10^{- 2}}{2.8316846592}

Solve

x

x \approx 0.0050169892 \approx 5.017 \times 10^{- 3}

Conversion Equation

1.0 (n o g g i n) \approx 5.017 \times 10^{- 3} (c u b i c f o o t)

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