Final answer:
The density of the unknown mineral, found by dividing the mass (292.5 grams) by the volume (65 mL), is 4.5 g/mL.
Step-by-step explanation:
The density of an object is found by dividing its mass by its volume. The student wants to determine the density of an unknown mineral. Based on the given information, the mineral has a mass of 292.5 grams, and when placed in water, it increases the water volume from 100 mL to 165 mL, indicating that the volume of the mineral is 65 mL (165 mL - 100 mL).
The formula to calculate density (d) is d = m/v, where m stands for mass and v stands for volume. Plugging in the values we get:
d = 292.5 g / 65 mL
Doing the calculation:
d = 4.5 g/mL