Convert cun(寸) to foot

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

Calculation Breakdown

Set up the equation

1.0 (c u n (寸)) = x (f o o t)

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 (f o o t) = 0.3048 (m e t e r) = 0.3048 (m)

Insert known values into the conversion equation to determine

x

1.0 (c u n (寸)) = x (f o o t)

Insert known values =>

1.0 \times \frac{1.0}{30.0} \times (m e t e r) = x \times 0.3048 \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{30.0} \cdot (m) = x \cdot 0.3048 \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{30.0} \cdot (m) = x \times 0.3048 \times (m)

Conversion Equation

\frac{1.0}{30.0} = x \times 0.3048

Switch sides

x \times 0.3048 = \frac{1.0}{30.0}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.3048})

x \times 0.3048 \times \frac{1.0}{0.3048} = \frac{1.0}{30.0} \times \frac{1.0}{0.3048}

Cancel

x \times 0.3048 \times \frac{1.0}{0.3048} = \frac{1.0 \times 1.0}{30.0 \times 0.3048}

Simplify

x = \frac{1.0}{30.0 \times 0.3048}

Solve

x

x \approx 0.1093613298 \approx 1.0936 \times 10^{- 1}

Conversion Equation

1.0 (c u n (寸)) \approx 1.0936 \times 10^{- 1} (f o o t)

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