Convert sheng(市升) to sack

Learn how to convert 1 sheng(市升) to sack step by step.

Calculation Breakdown

Set up the equation

1.0 (s h e n g (市 升)) = x (s a c k)

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 (s h e n g (市 升)) = 10^{- 3} (c u b i c m e t e r) = 10^{- 3} (m^{3})

Right side: 1.0 (s a c k) = 1.0910616 \times 10^{- 1} (c u b i c m e t e r) = 1.0910616 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (s h e n g (市 升)) = x (s a c k)

Insert known values =>

1.0 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 1.0910616 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot 10^{- 3} \cdot (m^{3}) = x \cdot 1.0910616 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times 10^{- 3} \cdot (m^{3}) = x \times 1.0910616 \times 10^{- 1} \times (m^{3})

Conversion Equation

10^{- 3} = x \times 1.0910616 \times 10^{- 1}

Cancel factors on both sides

Cancel factors

{10^{- 3}}^{10^{- 2}} = x \times 1.0910616 \times 10^{- 1}

Simplify

10^{- 2} = x \times 1.0910616

Switch sides

x \times 1.0910616 = 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.0910616})

x \times 1.0910616 \times \frac{1.0}{1.0910616} = 10^{- 2} \times \frac{1.0}{1.0910616}

Cancel

x \times 1.0910616 \times \frac{1.0}{1.0910616} = 10^{- 2} \times \frac{1.0}{1.0910616}

Simplify

x = \frac{10^{- 2}}{1.0910616}

Solve

x

x \approx 0.0091653853 \approx 9.1654 \times 10^{- 3}

Conversion Equation

1.0 (s h e n g (市 升)) \approx 9.1654 \times 10^{- 3} (s a c k)

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