Convert cubic foot to teaspoon

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

Calculation Breakdown

Set up the equation

1.0 (c u b i c f o o t) = x (t e a s p o o n)

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 (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})

Right side: 1.0 (t e a s p o o n) = 5.0 \times 10^{- 6} (c u b i c m e t e r) = 5.0 \times 10^{- 6} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (c u b i c f o o t) = x (t e a s p o o n)

Insert known values =>

1.0 \times 2.8316846592 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 5.0 \times 10^{- 6} \times (c u b i c m e t e r)

Or

1.0 \cdot 2.8316846592 \times 10^{- 2} \cdot (m^{3}) = x \cdot 5.0 \times 10^{- 6} \cdot (m^{3})

Cancel SI units

1.0 \times 2.8316846592 \times 10^{- 2} \cdot (m^{3}) = x \times 5.0 \times 10^{- 6} \times (m^{3})

Conversion Equation

2.8316846592 \times 10^{- 2} = x \times 5.0 \times 10^{- 6}

Cancel factors on both sides

Cancel factors

2.8316846592 \times 10^{- 2} = x \times 5.0 \times {10^{- 6}}^{10^{- 4}}

Simplify

2.8316846592 = x \times 5.0 \times 10^{- 4}

Switch sides

x \times 5.0 \times 10^{- 4} = 2.8316846592

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{- 4}})

x \times 5.0 \times 10^{- 4} \times \frac{1.0}{5.0 \times 10^{- 4}} = 2.8316846592 \times \frac{1.0}{5.0 \times 10^{- 4}}

Cancel

x \times 5.0 \times 10^{- 4} \times \frac{1.0}{5.0 \times 10^{- 4}} = 2.8316846592 \times \frac{1.0}{5.0 \times 10^{- 4}}

Simplify

x = \frac{2.8316846592}{5.0 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 2.8316846592}{5.0}

Solve

x

x \approx 5663.3693184 \approx 5.6634 \times 10^{3}

Conversion Equation

1.0 (c u b i c f o o t) \approx 5.6634 \times 10^{3} (t e a s p o o n)

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