Object A is less dense than object B. If objects are the same mass, what can be said about the volume of A as compared to a volume B?
less dense will have more volume.
If Object A is less dense than Object B, it means that Object A has a lower mass-to-volume ratio compared to Object B. In other words, for the same mass, Object A occupies more space than Object B.
To understand the relationship between density, mass, and volume, let's consider the density formula:
Density = Mass / Volume
Since both objects have the same mass, we can write their densities as:
Density of Object A = Mass / Volume of A
Density of Object B = Mass / Volume of B
Given that Object A is less dense than Object B, we can infer that:
Density of Object A < Density of Object B
If we rearrange the formula, we get:
Mass / Volume of A < Mass / Volume of B
Next, if we multiply both sides of the equation by the volumes:
(Mass / Volume of A) * (Volume of A) < (Mass / Volume of B) * (Volume of A)
Simplifying, we have:
Mass < Mass * (Volume of A / Volume of B)
Since the mass is the same for both objects, we can cancel it out:
1 < Volume of A / Volume of B
This tells us that Volume of A is greater than the Volume of B, or in other words:
Volume of A > Volume of B
Therefore, when objects have the same mass and Object A is less dense than Object B, we can conclude that the volume of Object A is greater than the volume of Object B.