Question

A straightforward method of finding the density of an object is to measure its mass and then measure its volume by submerging it in a graduated cylinder. What is the density of a 240-g rock that displaces 89.0 cm³ of water? (Note that the accuracy and practical applications of this technique are more limited than a variety of others that are based on Archimedes’ principle.)

a) 2.70 g/cm³
b) 3.60 g/cm³
c) 4.50 g/cm³
d) 5.40 g/cm³

Answer 1

The density of the rock is found by dividing its mass (240 g) by the volume of water it displaces (89.0 cm³), which results in a density of 2.70 g/cm³, corresponding to option (a).

Step-by-step explanation:

The density of an object, which is a measure of how much mass is contained in a given volume, is calculated using the formula density = mass/volume. In this case, we are trying to determine the density of a 240-g rock that displaces 89.0 cm³ of water. Using the mentioned formula, the calculation for density will be density = 240 g / 89.0 cm³.

After performing the division, we find that the density of the rock is approximately 2.70 g/cm³. Therefore, the answer to the question, "What is the density of a 240-g rock that displaces 89.0 cm³ of water?" is 2.70 g/cm³, which corresponds to option (a).