Answer:
To find the mass of the fuel in kilograms, we need to convert the given density from grams per cubic centimeter (g/cm^3) to kilograms per cubic meter (kg/m^3), since the units need to be consistent.
To convert the density from g/cm^3 to kg/m^3, we can use the following conversion factors:
1 g = 0.001 kg
1 cm^3 = 0.000001 m^3
First, we convert the density from g/cm^3 to kg/cm^3 by multiplying by 0.001:
0.765 g/cm^3 * 0.001 kg/g = 0.000765 kg/cm^3
Next, we convert the density from kg/cm^3 to kg/m^3 by multiplying by 1000000 (since there are 1000000 cm^3 in 1 m^3):
0.000765 kg/cm^3 * 1000000 = 765 kg/m^3
Therefore, the mass of the fuel is 765 kg when the density of the fuel is 0.765 g/cm^3.
