How does volume affect density? Choose all that apply.
a. As the volume of an object increases, the density of the object increases.
b. As the volume of an object increases, the density of the object decreases.
c. As the volume of an object decreases, the density of the object increases.
d. As the volume of an object decreases, the density of the object
decreases.
density = mass/volume
Reason this out. If the denominator of a fraction is larger the density gets smaller and if the denominator of a fraction is smaller the density will become larger.
Ok, Thank you!
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To determine how volume affects density, we need to understand the relationship between these two quantities. Density is defined as the mass of an object divided by its volume. In other words, density measures how much mass is packed into a given volume.
Now, let's look at each option:
a. As the volume of an object increases, the density of the object increases.
To determine if this statement is true or false, we can use a conceptual example. Imagine you have a fixed amount of mass spread across a larger volume and a smaller volume. Since the mass remains constant, the density (mass/volume) is smaller when the volume is larger. Therefore, option a is false.
b. As the volume of an object increases, the density of the object decreases.
Using the same reasoning as above, this statement is true. As the volume increases, the ratio of mass to volume decreases, resulting in a lower density. So, option b is correct.
c. As the volume of an object decreases, the density of the object increases.
This statement is true. As the volume decreases while keeping the mass constant, the ratio of mass to volume increases, leading to a higher density. Thus, option c is correct.
d. As the volume of an object decreases, the density of the object decreases.
This statement is false. As explained above, when the volume decreases, the mass remains constant. Consequently, the ratio of mass to volume increases, resulting in a higher density. Therefore, option d is incorrect.
In summary, the correct answers are options b and c. As the volume of an object increases, the density of the object decreases, and as the volume of an object decreases, the density of the object increases.