Question

explain how the two terms, density and mass, are related. 250 words remaining

Explanation:

Mass is a measure of the amount of matter in an object (e.g., in grams or kilograms). Density ($
ho$) is defined as mass ($m$) per unit volume ($V$), so the formula is $
ho=\frac{m}{V}$. This means density depends on both mass and volume. For a given volume, a higher mass means higher density (e.g., a lead block has more mass in the same volume as aluminum, so lead is denser). If mass changes while volume stays constant, density changes proportionally. Also, rearranging the formula gives $m =
ho V$, so mass can be found if density and volume are known. Different substances have unique densities, so mass and density are linked through the object’s volume and the substance’s inherent density property.

Answer:

Mass is the amount of matter in an object (measured in units like g, kg). Density ($\boldsymbol{
ho}$) is defined as mass per unit volume, with the formula $\boldsymbol{
ho=\frac{m}{V}}$ (where $m$ = mass, $V$ = volume).

• Dependence of Density on Mass: For a fixed volume, density is directly proportional to mass. For example, a 10 - cm³ block of lead (high density) has more mass than a 10 - cm³ block of aluminum (lower density) because lead’s density is greater. If an object’s mass increases while its volume remains constant, its density increases (e.g., compressing a gas into a smaller volume without changing its mass raises density).

• Calculating Mass from Density: Rearranging the formula gives $m=

ho V$. If you know a substance’s density and the volume of an object made from it, you can find the object’s mass (e.g., a 5 - m³ block of a material with density $2\ \text{kg/m}^3$ has a mass of $m = 2\times5=10\ \text{kg}$).

In summary, density relates mass to volume: it describes how “concentrated” mass is within a given space, and the two are linked mathematically through the object’s volume and the substance’s inherent density.