Question

comparing real - world ratios
ratios in real - world situations
pre - algebra ic sem 1 fall 2025
density is the ratio of mass to volume.
density ( =\frac{\text { mass }}{\text { volume }} )
compare the density of different liquids with the same
volume.
the liquid with the greatest density is
the liquid with the least density is

Explanation:

Step1: Identify the density formula

Density \(=\frac{\text{Mass}}{\text{Volume}}\). Given that the volume of each liquid is \(1\ \text{cm}^3\), the density of a liquid is equal to its mass (since \(\text{Density}=\frac{\text{Mass}}{1}=\text{Mass}\)).

Step2: Compare the mass values

The mass of olive oil is \(0.92\ \text{g}\), the mass of milk is \(1.03\ \text{g}\), the mass of glycerin is \(1.26\ \text{g}\), and the mass of water is \(1\ \text{g}\).

Step3: Find the liquid with the least density

Since \(0.92<1 < 1.03<1.26\), the liquid with the least density is olive oil.

Step4: Find the liquid with the greatest density

Since \(0.92<1 < 1.03<1.26\), the liquid with the greatest density is glycerin.

Answer:

The liquid with the least density is olive oil. The liquid with the greatest density is glycerin.