Need a little help in the metrics

[threetwone]

Can anyone explain the process of the problem above? Specifically, the rules of the units and powers.

 

[tkhunny]

Conversions factors require the same number of conversions as shown by their exponents.

Linear measurements require only one conversion, 1 in = 2.54 cm.

Area measurements require 2 conversions, (1 in)^2 = (2.54 cm)^2.

Volume measurements require 3 conversion, (1 in)^3 = (2.54 cm)^3.

Of course, none of this needs to be memorized. The existing exponent will just tell you the exponent required for your conversion.

 

[Steven G]

View attachment 22244

Can anyone explain the process of the problem above? Specifically, the rules of the units and powers.

[MATH]\dfrac{cm^3*in^2}{cm^2}(cm*in^2) =cm*in^2(\dfrac{cm^2}{in^2})=cm^3[/MATH]