To find the density of a liquid given its mass and volume, we can use the formula:
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
Here are the steps to solve the problem:
1. Identify the mass (m) of the liquid. In this case, the mass is 42 grams.
2. Identify the volume (V) of the liquid. In this case, the volume is 35 cubic centimeters (cm³).
3. Substitute the mass and volume into the density formula.
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} = \frac{42 \text{ grams}}{35 \text{ cm}^3} \][/tex]
4. Perform the division to find the density.
[tex]\[ \text{Density} = 1.2 \text{ grams/cm}^3 \][/tex]
So, the density of the liquid is 1.2 grams per cubic centimeter.