Convert dou(市斗) to ounce

Learn how to convert 1 dou(市斗) to ounce step by step.

Calculation Breakdown

Set up the equation

1.0 (d o u (市 斗)) = x (o u n c e)

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 (d o u (市 斗)) = 10^{- 2} (c u b i c m e t e r) = 10^{- 2} (m^{3})

Right side: 1.0 (o u n c e) = 2.95735295625 \times 10^{- 5} (c u b i c m e t e r) = 2.95735295625 \times 10^{- 5} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d o u (市 斗)) = x (o u n c e)

Insert known values =>

1.0 \times 10^{- 2} \times (c u b i c m e t e r) = x \times 2.95735295625 \times 10^{- 5} \times (c u b i c m e t e r)

Or

1.0 \cdot 10^{- 2} \cdot (m^{3}) = x \cdot 2.95735295625 \times 10^{- 5} \cdot (m^{3})

Cancel SI units

1.0 \times 10^{- 2} \cdot (m^{3}) = x \times 2.95735295625 \times 10^{- 5} \times (m^{3})

Conversion Equation

10^{- 2} = x \times 2.95735295625 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

10^{- 2} = x \times 2.95735295625 \times {10^{- 5}}^{10^{- 3}}

Simplify

1.0 = x \times 2.95735295625 \times 10^{- 3}

Switch sides

x \times 2.95735295625 \times 10^{- 3} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{2.95735295625 \times 10^{- 3}})

x \times 2.95735295625 \times 10^{- 3} \times \frac{1.0}{2.95735295625 \times 10^{- 3}} = \times \frac{1.0}{2.95735295625 \times 10^{- 3}}

Cancel

x \times 2.95735295625 \times 10^{- 3} \times \frac{1.0}{2.95735295625 \times 10^{- 3}} = \frac{1.0}{2.95735295625 \times 10^{- 3}}

Simplify

x = \frac{1.0}{2.95735295625 \times 10^{- 3}}

Rewrite equation

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

Rewrite

x = \frac{10^{3}}{2.95735295625}

Solve

x

x \approx 338.14022702 \approx 3.3814 \times 10^{2}

Conversion Equation

1.0 (d o u (市 斗)) \approx 3.3814 \times 10^{2} (o u n c e)

View All Examples