11)a hybrid suv consumes fuel at a rate of 12.8 km/l. using dimensional analysis, howmany miles can the car travel on 25.2 gal of gasoline? 3.78 l gal; 1.61 km 1 mi)

Dimensional analysis is a mathematical method that makes use of the fact that a number or expression with a unit can be multiplied by a factor without changing its value. It is done as follows:

12.8 km/L (25.2 gal) (3.78 L / 1 gal) (1 mi / 1. 61 km) 

From the expression above, we cancel units and evaluate it. Then, this gives us,

757.31 miles