Convert bucket to pinch

Learn how to convert 1 bucket to pinch step by step.

Calculation Breakdown

Set up the equation

1.0 (b u c k e t) = x (p i n c h)

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 (b u c k e t) = 1.818436 \times 10^{- 2} (c u b i c m e t e r) = 1.818436 \times 10^{- 2} (m^{3})

Right side: 1.0 (p i n c h) = 6.1611519921875 \times 10^{- 7} (c u b i c m e t e r) = 6.1611519921875 \times 10^{- 7} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (b u c k e t) = x (p i n c h)

Insert known values =>

1.0 \times 1.818436 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 6.1611519921875 \times 10^{- 7} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.818436 \times 10^{- 2} \cdot (m^{3}) = x \cdot 6.1611519921875 \times 10^{- 7} \cdot (m^{3})

Cancel SI units

1.0 \times 1.818436 \times 10^{- 2} \cdot (m^{3}) = x \times 6.1611519921875 \times 10^{- 7} \times (m^{3})

Conversion Equation

1.818436 \times 10^{- 2} = x \times 6.1611519921875 \times 10^{- 7}

Cancel factors on both sides

Cancel factors

1.818436 \times 10^{- 2} = x \times 6.1611519921875 \times {10^{- 7}}^{10^{- 5}}

Simplify

1.818436 = x \times 6.1611519921875 \times 10^{- 5}

Switch sides

x \times 6.1611519921875 \times 10^{- 5} = 1.818436

Isolate

x

Multiply both sides by

(\frac{1.0}{6.1611519921875 \times 10^{- 5}})

x \times 6.1611519921875 \times 10^{- 5} \times \frac{1.0}{6.1611519921875 \times 10^{- 5}} = 1.818436 \times \frac{1.0}{6.1611519921875 \times 10^{- 5}}

Cancel

x \times 6.1611519921875 \times 10^{- 5} \times \frac{1.0}{6.1611519921875 \times 10^{- 5}} = 1.818436 \times \frac{1.0}{6.1611519921875 \times 10^{- 5}}

Simplify

x = \frac{1.818436}{6.1611519921875 \times 10^{- 5}}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = \frac{10^{5} \times 1.818436}{6.1611519921875}

Solve

x

x \approx 29514.545369 \approx 2.9515 \times 10^{4}

Conversion Equation

1.0 (b u c k e t) \approx 2.9515 \times 10^{4} (p i n c h)

View All Examples