Final answer:
The object's density must be greater than water's density (1.0 g/cm3) because it sinks in water and less than glycerin's density (1.26 g/cm3) because it floats in glycerin, indicating it's between 1.0 g/cm3 and 1.26 g/cm3.
Step-by-step explanation:
When determining whether an object will float or sink in a fluid, it's important to compare the density of the object with the density of the fluid. According to the question, the object sinks in water which has a density of 1.0 g/cm3 but floats in glycerin which has a density of 1.26 g/cm3. Therefore, the object's density must be more than that of water but less than that of glycerin. This means the object's density is between 1.0 g/cm3 and 1.26 g/cm3.