Convert sho(升) to displacement ton

Learn how to convert 1 sho(升) to displacement ton step by step.

Calculation Breakdown

Set up the equation

1.0 (s h o (升)) = x (d i s p l a c e m e n t t 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 (s h o (升)) = \frac{2.401}{1.331 \times 10^{3}} (c u b i c m e t e r) = \frac{2.401}{1.331 \times 10^{3}} (m^{3})

Right side: 1.0 (d i s p l a c e m e n t t o n) = 9.9108963072 \times 10^{- 1} (c u b i c m e t e r) = 9.9108963072 \times 10^{- 1} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (s h o (升)) = x (d i s p l a c e m e n t t o n)

Insert known values =>

1.0 \times \frac{2.401}{1.331 \times 10^{3}} \times (c u b i c m e t e r) = x \times 9.9108963072 \times 10^{- 1} \times (c u b i c m e t e r)

Or

1.0 \cdot \frac{2.401}{1.331 \times 10^{3}} \cdot (m^{3}) = x \cdot 9.9108963072 \times 10^{- 1} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2.401}{1.331 \times 10^{3}} \cdot (m^{3}) = x \times 9.9108963072 \times 10^{- 1} \times (m^{3})

Conversion Equation

\frac{2.401}{1.331 \times 10^{3}} = x \times 9.9108963072 \times 10^{- 1}

Switch sides

x \times 9.9108963072 \times 10^{- 1} = \frac{2.401}{1.331 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{9.9108963072 \times 10^{- 1}})

x \times 9.9108963072 \times 10^{- 1} \times \frac{1.0}{9.9108963072 \times 10^{- 1}} = \frac{2.401}{1.331 \times 10^{3}} \times \frac{1.0}{9.9108963072 \times 10^{- 1}}

Cancel

x \times 9.9108963072 \times 10^{- 1} \times \frac{1.0}{9.9108963072 \times 10^{- 1}} = \frac{2.401 \times 1.0}{1.331 \times {10^{3}}^{10^{2}} \times 9.9108963072 \times 10^{- 1}}

Simplify

x = \frac{2.401}{1.331 \times 10^{2} \times 9.9108963072}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 2.401}{1.331 \times 9.9108963072}

Solve

x

x \approx 0.0018201248 \approx 1.8201 \times 10^{- 3}

Conversion Equation

1.0 (s h o (升)) \approx 1.8201 \times 10^{- 3} (d i s p l a c e m e n t t o n)

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