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Use six unit multipliers to change 30 cubic miles to cubic inches

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When you need to change units you need to know the realtionship between those units:

You need to use six unit multipliers, it means you need to know the relation between each unit you use.

As miles is a unit to distance, you can use the next units:

Miles to kilometer: 1 mile is equal to 1.61km

kilometer to meter: 1km is equal to 1000m

meter to yard: 1 meter is equal to 1.09361yd

yard to centimeter: 1yd is equal to 91.44cm

centimeter to feet: 1 ft is equal to 30.48cm

feet to inches: 1 ft is equal to 12 inches

Then you get:


30miles^3\cdot\frac{1.61\operatorname{km}}{1miles^3}\cdot\frac{1000m^3}{1\operatorname{km}}\cdot(1.09361yd^3)/(1m^3)\cdot\frac{91.44\operatorname{cm}}{1yd^3}\cdot\frac{1ft^3}{30.48\operatorname{cm}}\cdot(12in^3)/(1ft^3)
=1901569.068in^3

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