Convert tablespoon to cubic yard

Learn how to convert 1 tablespoon to cubic yard step by step.

Calculation Breakdown

Set up the equation

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

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 (t a b l e s p o o n) = 1.77581640625 \times 10^{- 5} (c u b i c m e t e r) = 1.77581640625 \times 10^{- 5} (m^{3})

Right side: 1.0 (c u b i c y a r d) = 7.64554857984 \times 10^{- 1} (c u b i c m e t e r) = 7.64554857984 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.77581640625 \times 10^{- 5} \times (c u b i c m e t e r) = x \times 7.64554857984 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.77581640625 \times 10^{- 5} \cdot (m^{3}) = x \cdot 7.64554857984 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 1.77581640625 \times 10^{- 5} \cdot (m^{3}) = x \times 7.64554857984 \times 10^{- 1} \times (m^{3})

Conversion Equation

1.77581640625 \times 10^{- 5} = x \times 7.64554857984 \times 10^{- 1}

Cancel factors on both sides

Cancel factors

1.77581640625 \times {10^{- 5}}^{10^{- 4}} = x \times 7.64554857984 \times 10^{- 1}

Simplify

1.77581640625 \times 10^{- 4} = x \times 7.64554857984

Switch sides

x \times 7.64554857984 = 1.77581640625 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.0}{7.64554857984})

x \times 7.64554857984 \times \frac{1.0}{7.64554857984} = 1.77581640625 \times 10^{- 4} \times \frac{1.0}{7.64554857984}

Cancel

x \times 7.64554857984 \times \frac{1.0}{7.64554857984} = 1.77581640625 \times 10^{- 4} \times \frac{1.0}{7.64554857984}

Simplify

x = \frac{1.77581640625 \times 10^{- 4}}{7.64554857984}

Solve

x

x \approx 0.0000232268 \approx 2.3227 \times 10^{- 5}

Conversion Equation

1.0 (t a b l e s p o o n) \approx 2.3227 \times 10^{- 5} (c u b i c y a r d)

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