Convert dessertspoon to firkin

Learn how to convert 1 dessertspoon to firkin step by step.

Calculation Breakdown

Set up the equation

1.0 (d e s s e r t s p o o n) = x (f i r k i 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 (d e s s e r t s p o o n) = 1.18387760416667 \times 10^{- 5} (c u b i c m e t e r) = 1.18387760416667 \times 10^{- 5} (m^{3})

Right side: 1.0 (f i r k i n) = 3.4068706056 \times 10^{- 2} (c u b i c m e t e r) = 3.4068706056 \times 10^{- 2} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d e s s e r t s p o o n) = x (f i r k i n)

Insert known values =>

1.0 \times 1.18387760416667 \times 10^{- 5} \times (c u b i c m e t e r) = x \times 3.4068706056 \times 10^{- 2} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.18387760416667 \times 10^{- 5} \cdot (m^{3}) = x \cdot 3.4068706056 \times 10^{- 2} \cdot (m^{3})

Cancel SI units

1.0 \times 1.18387760416667 \times 10^{- 5} \cdot (m^{3}) = x \times 3.4068706056 \times 10^{- 2} \times (m^{3})

Conversion Equation

1.18387760416667 \times 10^{- 5} = x \times 3.4068706056 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

1.18387760416667 \times {10^{- 5}}^{10^{- 3}} = x \times 3.4068706056 \times 10^{- 2}

Simplify

1.18387760416667 \times 10^{- 3} = x \times 3.4068706056

Switch sides

x \times 3.4068706056 = 1.18387760416667 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.4068706056})

x \times 3.4068706056 \times \frac{1.0}{3.4068706056} = 1.18387760416667 \times 10^{- 3} \times \frac{1.0}{3.4068706056}

Cancel

x \times 3.4068706056 \times \frac{1.0}{3.4068706056} = 1.18387760416667 \times 10^{- 3} \times \frac{1.0}{3.4068706056}

Simplify

x = \frac{1.18387760416667 \times 10^{- 3}}{3.4068706056}

Solve

x

x \approx 0.0003474971 \approx 3.475 \times 10^{- 4}

Conversion Equation

1.0 (d e s s e r t s p o o n) \approx 3.475 \times 10^{- 4} (f i r k i n)

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