Convert sack to drop

Learn how to convert 1 sack to drop step by step.

Calculation Breakdown

Set up the equation

1.0 (s a c k) = x (d r o p)

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 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})

Right side: 1.0 (d r o p) = 7.78866844846491 \times 10^{- 8} (c u b i c m e t e r) = 7.78866844846491 \times 10^{- 8} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (s a c k) = x (d r o p)

Insert known values =>

1.0 \times 1.0910616 \times 10^{- 1} \times (c u b i c m e t e r) = x \times 7.78866844846491 \times 10^{- 8} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.0910616 \times 10^{- 1} \cdot (m^{3}) = x \cdot 7.78866844846491 \times 10^{- 8} \cdot (m^{3})

Cancel SI units

1.0 \times 1.0910616 \times 10^{- 1} \cdot (m^{3}) = x \times 7.78866844846491 \times 10^{- 8} \times (m^{3})

Conversion Equation

1.0910616 \times 10^{- 1} = x \times 7.78866844846491 \times 10^{- 8}

Cancel factors on both sides

Cancel factors

1.0910616 \times 10^{- 1} = x \times 7.78866844846491 \times {10^{- 8}}^{10^{- 7}}

Simplify

1.0910616 = x \times 7.78866844846491 \times 10^{- 7}

Switch sides

x \times 7.78866844846491 \times 10^{- 7} = 1.0910616

Isolate

x

Multiply both sides by

(\frac{1.0}{7.78866844846491 \times 10^{- 7}})

x \times 7.78866844846491 \times 10^{- 7} \times \frac{1.0}{7.78866844846491 \times 10^{- 7}} = 1.0910616 \times \frac{1.0}{7.78866844846491 \times 10^{- 7}}

Cancel

x \times 7.78866844846491 \times 10^{- 7} \times \frac{1.0}{7.78866844846491 \times 10^{- 7}} = 1.0910616 \times \frac{1.0}{7.78866844846491 \times 10^{- 7}}

Simplify

x = \frac{1.0910616}{7.78866844846491 \times 10^{- 7}}

Rewrite equation

\frac{1.0}{10^{- 7}} can be rewritten to 10^{7}

Rewrite

x = \frac{10^{7} \times 1.0910616}{7.78866844846491}

Solve

x

x \approx 1400832 \approx 1.4008 \times 10^{6}

Conversion Equation

1.0 (s a c k) \approx 1.4008 \times 10^{6} (d r o p)

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