Aparticular brand of gasoline has a density of 0.737 g/ml at 25 ∘c. how many grams of this gasoline would fill a 15.7 gal tank (1us gal=3.78l)?

Th above problem asked us to find the amount of gasoline in grams given a density of 0.737 g/mL at 25°C and a volume of 15.7 gal.

To solve this problem, we must use the formula of density which is mass over volume.

D=

Base on the formula, we can find the mass of gasoline in by multiplying both sides by the volume. That is,
mass=D(Volume)

Note that we must cancel out the unit with a remaining g as the unit of mass. We must convert galloons to liters to mL.. That is

1 gal=3.78L and 1L=1000mL
15.7 gal x x=59346 mL

So,
mass=(0.737 g/mL x 59346 mL)=43738 g

Variables,control,conclusion and finally scientific theory

Mass is the amount of matter in an object.  weight is the measurement of the pull of gravity on an object.  say for example, you travel to the moon which has a different gravitational field compared to the gravitational field of earth. (gravitational fields: earth = 1, moon = 0.165)  now when you are on the moon, the pull of gravity on you is different than on the earth. and as weight is the measurement of the pull of gravity on an object, that means yes, your weight can and will change on the moon.  however, on the moon, on earth or even on jupiter, the amount of mass inside of you remains the same. meaning your physical mass remains constant.  in conclusion it is possible for your weight to change as your mass remains constant.