Convert cun(寸) to shaku(尺)

Learn how to convert 1 cun(寸) to shaku(尺) step by step.

Calculation Breakdown

Set up the equation

1.0 (c u n (寸)) = x (s h a k u (尺))

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (c u n (寸)) = \frac{1.0}{30.0} (m e t e r) = \frac{1.0}{30.0} (m)

Right side: 1.0 (s h a k u (尺)) = \frac{10.0}{33.0} (m e t e r) = \frac{10.0}{33.0} (m)

Insert known values into the conversion equation to determine

x

1.0 (c u n (寸)) = x (s h a k u (尺))

Insert known values =>

1.0 \times \frac{1.0}{30.0} \times (m e t e r) = x \times \frac{10.0}{33.0} \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{30.0} \cdot (m) = x \cdot \frac{10.0}{33.0} \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{30.0} \cdot (m) = x \times \frac{10.0}{33.0} \times (m)

Conversion Equation

\frac{1.0}{30.0} = x \times \frac{10.0}{33.0}

Switch sides

x \times \frac{10.0}{33.0} = \frac{1.0}{30.0}

Isolate

x

Multiply both sides by

(\frac{33.0}{10.0})

x \times \frac{10.0}{33.0} \times \frac{33.0}{10.0} = \frac{1.0}{30.0} \times \frac{33.0}{10.0}

Cancel

x \times \frac{10.0 \times 33.0}{33.0 \times 10.0} = \frac{1.0 \times 33.0}{30.0 \times 10.0}

Simplify

x = \frac{33.0}{30.0 \times 10.0}

Solve

x

x = 0.11 = 1.1 \times 10^{- 1}

Conversion Equation

1.0 (c u n (寸)) = 1.1 \times 10^{- 1} (s h a k u (尺))

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