Convert sotka to Shaku(勺)

Learn how to convert 1 sotka to Shaku(勺) step by step.

Calculation Breakdown

Set up the equation

1.0 (s o t k a) = x (S h a k u (勺))

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

(s q u a r e m e t e r)

Left side: 1.0 (s o t k a) = 10^{2} (s q u a r e m e t e r) = 10^{2} (m^{2})

Right side: 1.0 (S h a k u (勺)) = \frac{4.0}{121.0} (s q u a r e m e t e r) = \frac{4.0}{121.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (s o t k a) = x (S h a k u (勺))

Insert known values =>

1.0 \times 10^{2} \times (s q u a r e m e t e r) = x \times \frac{4.0}{121.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot 10^{2} \cdot (m^{2}) = x \cdot \frac{4.0}{121.0} \cdot (m^{2})

Cancel SI units

1.0 \times 10^{2} \cdot (m^{2}) = x \times \frac{4.0}{121.0} \times (m^{2})

Conversion Equation

10^{2} = x \times \frac{4.0}{121.0}

Switch sides

x \times \frac{4.0}{121.0} = 10^{2}

Isolate

x

Multiply both sides by

(\frac{121.0}{4.0})

x \times \frac{4.0}{121.0} \times \frac{121.0}{4.0} = 10^{2} \times \frac{121.0}{4.0}

Cancel

x \times \frac{4.0 \times 121.0}{121.0 \times 4.0} = 10^{2} \times \frac{121.0}{4.0}

Simplify

x = \frac{10^{2} \times 121.0}{4.0}

Solve

x

x = 3025 = 3.025 \times 10^{3}

Conversion Equation

1.0 (s o t k a) = 3.025 \times 10^{3} (S h a k u (勺))

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