Convert diesel to teaspoon

Learn how to convert 1 diesel to teaspoon step by step.

Calculation Breakdown

Set up the equation

1.0 (d i e s e l) = 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 (d i e s e l) = \frac{10.0}{8.5} (c u b i c m e t e r) = \frac{10.0}{8.5} (m^{3})

Right side: 1.0 (t e a s p o o n) = 4.92892159375 \times 10^{- 6} (c u b i c m e t e r) = 4.92892159375 \times 10^{- 6} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d i e s e l) = x (t e a s p o o n)

Insert known values =>

1.0 \times \frac{10.0}{8.5} \times (c u b i c m e t e r) = x \times 4.92892159375 \times 10^{- 6} \times (c u b i c m e t e r)

Or

1.0 \cdot \frac{10.0}{8.5} \cdot (m^{3}) = x \cdot 4.92892159375 \times 10^{- 6} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{10.0}{8.5} \cdot (m^{3}) = x \times 4.92892159375 \times 10^{- 6} \times (m^{3})

Conversion Equation

\frac{10.0}{8.5} = x \times 4.92892159375 \times 10^{- 6}

Switch sides

x \times 4.92892159375 \times 10^{- 6} = \frac{10.0}{8.5}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.92892159375 \times 10^{- 6}})

x \times 4.92892159375 \times 10^{- 6} \times \frac{1.0}{4.92892159375 \times 10^{- 6}} = \frac{10.0}{8.5} \times \frac{1.0}{4.92892159375 \times 10^{- 6}}

Cancel

x \times 4.92892159375 \times 10^{- 6} \times \frac{1.0}{4.92892159375 \times 10^{- 6}} = \frac{10.0 \times 1.0}{8.5 \times 4.92892159375 \times 10^{- 6}}

Simplify

x = \frac{10.0}{8.5 \times 4.92892159375 \times 10^{- 6}}

Rewrite equation

\frac{1.0}{10^{- 6}} can be rewritten to 10^{6}

Rewrite

x = \frac{10^{6} \times 10.0}{8.5 \times 4.92892159375}

Simplify

x = \frac{{10.0}^{7}}{8.5 \times 4.92892159375}

Solve

x

x \approx 238687.21907 \approx 2.3869 \times 10^{5}

Conversion Equation

1.0 (d i e s e l) \approx 2.3869 \times 10^{5} (t e a s p o o n)

View All Examples