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# Convert 0.75 ##"m"^3## to ##L##, 975 ##"ft"^2## to ##"m"^2##, and 5.0 ##"m"^3## to ##"cm"^3##?

0.75 m³ = 750 L; 975 ft² = 90.6 m²; 5.0 m³ = 5.0 ×10⁶ cm³

a. ##0.75 m^3 × ((100 cm)/(1 m))^3 × (1 L)/(1000 cm^3)## = 750 L

b. ##975 ft^2 × ((12 in)/(1 ft))^2 × ((2.54 cm)/(1 in))^2 × ( (1 m)/(100 cm))^2## = 90.6 m²

My apologies. This editor converts "in" for "inch" to the set theory symbol ##in## for "in".

c. ##5.0 m^3 × ((100 cm)/(1 m))^3## = 5.0 × 10⁶ cm³

Notice that we must set up the conversion factors so that units in the numerator and denominator cancel.

Notice also that if a unit has an exponent such as 2 or 3, we must square or cube its conversion factor.