We are given volume of gasoline = 15.58 L and
Density = 0.74 g/mL.
Density is given in grams(g) per milliliter (mL). So, we need to convert given volume in mL also.
We know, 1 litre = 1000 milliliters
Therefore, 15.58 L = 15.58 * 1000 mL = 15580 mL
We could rewrite,
Volume of gasoline = 15580 mL.
Formula for density is..
Density (ρ)= [tex]\frac{Mass}{ Volume}[/tex]
Plugging values in formula,
0.74 g/mL = [tex]\frac{Mass}{15580 \ mL}[/tex]
Muliplying both sides by 15580.
[tex]0.74 g/mL * 15580mL =\frac{Mass}{15580 \ mL} * 15580mL[/tex]
11529.2g = mass.
Therefore, 11529.2g grams does 15.58 L of gasoline weigh.