Convert bag to liter

Learn how to convert 1 bag to liter step by step.

Calculation Breakdown

Set up the equation

1.0 (b a g) = x (l i t e r)

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 a g) = 0.10910616 (c u b i c m e t e r) = 0.10910616 (m^{3})

Right side: 1.0 (l i t e r) = 10^{- 3} (c u b i c m e t e r) = 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (b a g) = x (l i t e r)

Insert known values =>

1.0 \times 0.10910616 \times (c u b i c m e t e r) = x \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot 0.10910616 \cdot (m^{3}) = x \cdot 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 0.10910616 \cdot (m^{3}) = x \times 10^{- 3} \times (m^{3})

Conversion Equation

0.10910616 = x \times 10^{- 3}

Switch sides

x \times 10^{- 3} = 0.10910616

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 3}})

x \times 10^{- 3} \times \frac{1.0}{10^{- 3}} = 0.10910616 \times \frac{1.0}{10^{- 3}}

Cancel

x \times 10^{- 3} \times \frac{1.0}{10^{- 3}} = 0.10910616 \times \frac{1.0}{10^{- 3}}

Simplify

x = \frac{0.10910616}{10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = 10^{3} \times 0.10910616

Solve

x

x = 109.10616 \approx 1.0911 \times 10^{2}

Conversion Equation

1.0 (b a g) \approx 1.0911 \times 10^{2} (l i t e r)

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