Question 210107: How do you convert liters to cubic inches using the unit analysis method? For example 748 liters to cubic inches.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! How do you convert liters to cubic inches using the unit analysis method? For example 748 liters to cubic inches.
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1 inch = 2.54 cm exactly, not rounded off
1 cubic inch = 2.54^3 cc = 16.387064 cc = 0.016387094 liter/in^3
The conversion is 0.016387094 liter/in^3
Cubic inches/liter is the inverse, 1/(0.016387094 liter/in^3)
The conversion is 61.0237 in^3/liter (rounded off, not exact)
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748 liters x 61.0237 in^3/liter = 45645.76 in^3 (to 2 decimals)
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Notice how the liters cancel when you multiply. Keeping track of units makes it clear multiplying is the correct operation, and not dividing.
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