Which equation describes the mass of an object in relation to its volume and density?
mass = density * volume
the units tell the story: g = g/cm^3 * cm^3
The equation that describes the mass of an object in relation to its volume and density is:
Mass = Density x Volume
The equation that describes the mass of an object in relation to its volume and density is:
Mass = Volume x Density
To understand how this equation is derived, we need to know the definitions of the terms involved:
Mass: It represents the amount of matter in an object, which remains constant regardless of the object's location. The SI unit of mass is kilogram (kg).
Volume: It refers to the amount of space occupied by an object or substance. The SI unit of volume is cubic meter (m³).
Density: It is a measure of how much mass is contained within a given volume. The SI unit of density is kilogram per cubic meter (kg/m³).
Now, considering that mass is directly proportional to both volume and density, we can write the equation as follows:
Mass ∝ Volume x Density
To form an equation, we introduce a constant of proportionality, denoted by the symbol "∝," which signifies that the mass is proportional to the product of volume and density.
To remove the proportionality sign and obtain an equation, we introduce the proportionality constant, denoted by "k." The equation becomes:
Mass = k x Volume x Density
The proportionality constant is found experimentally and may vary depending on the specific object or substance. However, in many cases, we can consider it as 1 and write the equation simply as:
Mass = Volume x Density