Final answer:
The volume of a substance with a mass of 455.6 grams and a density of 19.3 g/cm³ is approximately 23.6 cm³, taking into account significant figures.
Step-by-step explanation:
To determine the volume of a substance with a given mass and density, you can use the formula:
Volume = Mass ÷ Density
In this case, the mass of the substance is given as 455.6 grams and the density as 19.3 g/cm³. Applying the formula:
Volume = 455.6 g ÷ 19.3 g/cm³
Volume = 23.611399 cm³
After calculating, you will find that the volume of the substance is approximately 23.6 cm³, when rounded to three significant figures. The number of significant figures is determined by the value with the least number, in this case the density which has three significant figures.