Final answer:
The volume of the vegetable oil sample with a mass of 50.3 g and a density of 911 kg/m³ is 55.2 cm³ when converting the density to g/cm³ and applying the formula Volume = Mass / Density.
Step-by-step explanation:
The student is asking about finding the volume of a sample of vegetable oil based on its given mass and density. The mass of the sample is provided as 50.3 g and its density is 911 kg/m³. To find the volume, we must first convert the density into g/cm³ since the mass is in grams. Remember that 1 kg/m³ is equivalent to 0.001 g/cm³. Therefore, the density of the oil in g/cm³ is 0.911 g/cm³. Then we use the formula for volume:
Volume = Mass / Density
So:
Volume = 50.3 g / 0.911 g/cm³ = 55.2 cm³
Therefore, the correct volume of the oil sample is 55.2 cm³ (option a).